
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
Calculate the integral \(\int_{1}^{9} \sqrt{6x - 5} \, dx\) using the Newton-Leibniz formula and approximate formulas of rectangles and trapezoids, dividing the integration interval into 8 equal parts. Assess the error of the results.

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