messages
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|---|---|---|
[
{
"content": "Find the indefinite integral of f(x) = 4(-1x) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x**2
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3x + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x**2/2 + 4*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 2(-2x + 4) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x**2 + 3*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 5x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5*x**2/2
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2(3((-1x + 1)/(2x + 3)) + 3) - 1)/(1(3((-1x + 1)/(2x + 3)) + 3) - 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4*x - 45*log(x - 6)
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 3(-1(-3x^2 + 1x + 1) - 4) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x**3 - 3*x**2/2 - 11*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2x + 1)/(2x - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x + log(2*x - 1)
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 2(3x + 1) + 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x**2 + 3*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (1(4x^2 - 5x + 3))/(-1(4x^2 - 5x + 3))? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = (2x + 2)/(-2x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x - 5*log(2*x - 3)/2
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3(2(1x + 1) - 1) + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x**2 + 6*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 3(4x^2 - 3x + 5)^2 + 4(4x^2 - 3x + 5) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48*x**5/5 - 18*x**4 + 163*x**3/3 - 51*x**2 + 100*x
|
MATH
|
[
{
"content": "Determine ∫(-4(-1e^(1x)) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4*x + 4*exp(x)
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1x - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**2/2 - 5*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -4(-3((2x - 1)/(-3x - 3)) + 1)^2 + 4(-3((2x - 1)/(-3x - 3)) + 1) + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19*x + 60*log(x + 1) + 36/(x + 1)
|
MATH
|
[
{
"content": "Determine ∫(1((1((-1x + 2)/(-2x)) - 2)/(3((-1x + 2)/(-2x)) - 2)) - 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x - 16*log(x + 6)
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 1x^2 + 2x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x**3/3 + x**2
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -4((3x + 1)/(-1x - 3))^2 + 1((3x + 1)/(-1x - 3)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42*x + 200*log(x + 3) + 256/(x + 3)
|
MATH
|
[
{
"content": "Determine ∫(-3x - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3*x**2/2 - 4*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -4(-3x^2 + 3x + 3)^2 - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36*x**5/5 + 18*x**4 + 12*x**3 - 36*x**2 - 41*x
|
MATH
|
[
{
"content": "Determine ∫(-1((-1(5x + 1) + 2)/(-2(5x + 1) - 2)) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7*x/2 + 3*log(5*x + 2)/10
|
MATH
|
[
{
"content": "Determine ∫(-1(-1((-3x)/(-1x + 2)) - 3) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8*x + 6*log(x - 2)
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = (-3(2(2x^2 + 1x - 2) - 3) + 3)/(-3(2(2x^2 + 1x - 2) - 3) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x + 5*sqrt(237)*log(x + 1/4 + sqrt(237)/12)/474 - 5*sqrt(237)*log(x - sqrt(237)/12 + 1/4)/474
|
MATH
|
[
{
"content": "Determine ∫(-2(-4x + 3) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4*x**2 - 10*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = -1x^2 - 1x - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**3/3 - x**2/2 - x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = -4(-3x - 1)^2 - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12*x**3 - 12*x**2 - 8*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = 1x + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x**2/2 + 4*x
|
MATH
|
[
{
"content": "Determine ∫(1((-3x + 2)/(-1x + 2))^2 - 1((-3x + 2)/(-1x + 2)) + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11*x + 20*log(x - 2) - 16/(x - 2)
|
MATH
|
[
{
"content": "Determine ∫(-4x + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x**2 + 4*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 2e^(-1(3x - 2)) - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x - 2*exp(2 - 3*x)/3
|
MATH
|
[
{
"content": "Determine ∫((-2x + 1)/(-2x)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x - log(x)/2
|
MATH
|
[
{
"content": "Determine ∫((1(-3((-1x - 3)/(1x + 2)) - 1) - 2)/(2(-3((-1x - 3)/(1x + 2)) - 1) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*log(x + 8)
|
MATH
|
[
{
"content": "Determine ∫(2x + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x**2 + 3*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-2(2x^2 + 5x - 4) + 3)/(1(2x^2 + 5x - 4) + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x - 3*sqrt(33)*log(x + 5/4 + sqrt(33)/4)/11 + 3*sqrt(33)*log(x - sqrt(33)/4 + 5/4)/11
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (2((2(4x^2 + 1x + 3) - 1)/(-2(4x^2 + 1x + 3) + 3)) - 1)/(1((2(4x^2 + 1x + 3) - 1)/(-2(4x^2 + 1x + 3) + 3)) + 1) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4*x**3 + 3*x**2/2 + 13*x/2
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 5x^2 + 1x - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5*x**3/3 + x**2/2 - x
|
MATH
|
[
{
"content": "Determine ∫(2x - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x**2 - 2*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 4x - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2*x**2 - 2*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = 2((1x + 3)/(1x)) - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x + 6*log(x)
|
MATH
|
[
{
"content": "Determine ∫((3x + 3)/(1x)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x + 3*log(x)
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (2x - 3)/(1x + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2*x - 7*log(x + 2)
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = -1x^2 - 5x + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**3/3 - 5*x**2/2 + 2*x
|
MATH
|
[
{
"content": "Determine ∫(-4x^2 - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4*x**3/3 - 3*x
|
MATH
|
[
{
"content": "Determine ∫(-5x^2 + 2x - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5*x**3/3 + x**2 - 3*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 4x^2 + 3x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4*x**3/3 + 3*x**2/2 + 4*x
|
MATH
|
[
{
"content": "Determine ∫((-2x - 1)/(3x + 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x/3 + log(x + 1)/3
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 4(2((-2x - 2)/(-2x + 1))^2 - 5((-2x - 2)/(-2x + 1)) + 2)^2 - 4(2((-2x - 2)/(-2x + 1))^2 - 5((-2x - 2)/(-2x + 1)) + 2) + 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9*x + (360*x**2 - 144*x - 234)/(8*x**3 - 12*x**2 + 6*x - 1) + 18*log(2*x - 1)
|
MATH
|
[
{
"content": "Determine ∫(1x + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x**2/2 + 5*x
|
MATH
|
[
{
"content": "Determine ∫(-2(-4(2x^2 - 4x + 5)^2 - 5(2x^2 - 4x + 5) + 1)^2 + 2(-4(2x^2 - 4x + 5)^2 - 5(2x^2 - 4x + 5) + 1) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-512*x**9/9 + 512*x**8 - 18048*x**7/7 + 25472*x**6/3 - 20296*x**5 + 35688*x**4 - 47164*x**3 + 44820*x**2 - 30997*x
|
MATH
|
[
{
"content": "Determine ∫(3((-3(4x^2 - 3x + 2) - 2)/(3(4x^2 - 3x + 2) - 1)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x - 6*sqrt(159)*atan(8*sqrt(159)*x/53 - 3*sqrt(159)/53)/53
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = -5(3((-1x - 2)/(3x - 1)) - 1) - 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7*x + 35*log(3*x - 1)/3
|
MATH
|
[
{
"content": "Determine ∫(-3((-2x - 2)/(1x)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8*x + 6*log(x)
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (3x - 3)/(-2x - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3*x/2 + 15*log(2*x + 3)/4
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1((-2x + 3)/(1x)) - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6*x + 3*log(x)
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -4x^2 + 2x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4*x**3/3 + x**2 + 5*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -4x - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2*x**2 - 3*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 3(4x + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6*x**2 + 3*x
|
MATH
|
[
{
"content": "Determine ∫(-1x) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**2/2
|
MATH
|
[
{
"content": "Determine ∫(-4x^2 + 4x + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4*x**3/3 + 2*x**2 + 2*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = 1(4x) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2*x**2 - 4*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-3x + 2)/(-3x - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x - 5*log(x + 1)/3
|
MATH
|
[
{
"content": "Determine ∫((-1x - 3)/(1x - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x - 6*log(x - 3)
|
MATH
|
[
{
"content": "Determine ∫(4x + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2*x**2 + 2*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = -2(-1e^(2x) - 1)^2 - 5(-1e^(2x) - 1) + 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4*x - exp(4*x)/2 + exp(2*x)/2
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1x + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**2/2 + 2*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 2)/(-1x + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x + 8*log(x - 2)
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3e^(2(5x - 1)) + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x - 3*exp(10*x - 2)/10
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (3(-2x^2 + 1x - 1) - 1)/(1(-2x^2 + 1x - 1) + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x + 7*log(x - 1)/3 - 7*log(x + 1/2)/3
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (1x - 1)/(-2x + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x/2 + log(2*x - 1)/4
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (2x + 2)/(3x + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2*x/3
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -5x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5*x**2/2 - x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = -4(1(-3x + 3) + 2) + 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6*x**2 - 19*x
|
MATH
|
[
{
"content": "Determine ∫(-1(5x - 4) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5*x**2/2 + 3*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = 2(1(-2x^2 + 1)^2 + 4(-2x^2 + 1) + 1) + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8*x**5/5 - 8*x**3 + 16*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (-1x + 1)/(-1x + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x + log(x - 2)
|
MATH
|
[
{
"content": "Determine ∫(-3(-4x - 1)^2 - 3(-4x - 1) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16*x**3 - 6*x**2 - 3*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -5(-2e^(1(1x + 4)) - 1) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10*exp(x + 4)
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = 3(3x^2 + 1x) + 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3*x**3 + 3*x**2/2 + x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = (-1(-4(-2x - 4)^2 - 4(-2x - 4) - 3) - 1)/(1(-4(-2x - 4)^2 - 4(-2x - 4) - 3)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x + sqrt(2)*atan(2*sqrt(2)*x + 7*sqrt(2)/2)/8
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -5x^2 + 3x + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5*x**3/3 + 3*x**2/2 + 3*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 2((-3x - 3)/(2x + 1)) - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7*x - 3*log(2*x + 1)/2
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -1x^2 + 1x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**3/3 + x**2/2 + 5*x
|
MATH
|
[
{
"content": "Determine ∫((-3(3x^2 + 3) - 2)/(1(3x^2 + 3) + 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3*x + sqrt(3)*atan(sqrt(3)*x/2)/6
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-2x + 2)/(-2x - 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x - 2*log(x + 1)
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-1x - 2)/(3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x/3 - 2*log(x)/3
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2(-3e^(1x) - 3)^2 + 3(-3e^(1x) - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27*x - 9*exp(2*x) - 45*exp(x)
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (-2x)/(-3x) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2*x/3
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (-2((-3(-3e^(2x) + 2) + 2)/(-1(-3e^(2x) + 2) + 2)) - 1)/(-3((-3(-3e^(2x) + 2) + 2)/(-1(-3e^(2x) + 2) + 2)) + 4) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2*x/3 + 11*log(exp(2*x) - 4/5)/30
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 1(1x^2 - 5x - 2)^2 + 2(1x^2 - 5x - 2) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x**5/5 - 5*x**4/2 + 23*x**3/3 + 5*x**2 + 5*x
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3(3e^(-1x) - 2)^2 - 4(3e^(-1x) - 2) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7*x - 24*exp(-x) + 27*exp(-2*x)/2
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = 4x^2 + 3x - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4*x**3/3 + 3*x**2/2 - 2*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = -2x - 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**2 - 3*x
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (1x + 1)/(3x + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x/3
|
MATH
|
[
{
"content": "Determine ∫(-2((1(-4x^2 - 3x) + 1)/(3(-4x^2 - 3x) - 1)) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8*x/3 + 8*sqrt(33)*log(x - sqrt(33)/24 + 3/8)/99 - 8*sqrt(33)*log(x + sqrt(33)/24 + 3/8)/99
|
MATH
|
[
{
"content": "Find the indefinite integral of f(x) = (-1(3x^2 + 2x - 5) + 3)/(-1(3x^2 + 2x - 5) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x + sqrt(22)*log(x + 1/3 + sqrt(22)/3)/44 - sqrt(22)*log(x - sqrt(22)/3 + 1/3)/44
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 2(-1(-2e^(1x) + 2)^2 - 5(-2e^(1x) + 2) - 2) - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37*x - 4*exp(2*x) + 36*exp(x)
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -1x^2 - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**3/3 - 3*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = -2(4(5x - 3) - 5) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20*x**2 + 39*x
|
MATH
|
[
{
"content": "Compute the indefinite integral for f(x) = (3x - 3)/(3x - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
x - log(3*x - 2)/3
|
MATH
|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2x - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-x**2 - 5*x
|
MATH
|
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