
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $K$ be the measure of the area bounded by the $x$-axis, the line $x=10$, and the curve defined by 
\[f={(x,y)\quad |\quad y=x^2 \text{ when } 0 \le x \le 4,\quad y=3x-8 \text{ when } 4 \le x \le 10}.\] Calculate the measure of $K$.

Present the answer in LaTex format: \boxed{Your answer}
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