
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
(1) 2009 Kansai University entrance exam

Calculate  $ \int \frac{e^{\minus{}2x}}{1\plus{}e^{\minus{}x}}\ dx$ .


(2) 2009 Rikkyo University entrance exam/Science

Evaluate  $ \int_0^ 1 \frac{2x^3}{1\plus{}x^2}\ dx$ .

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