
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
Given a real number $a$ is the coefficient of $x^2$ in the expansion of $\left( \frac { \sqrt {x}}{2}- \frac {2}{x}\right)^{7}$, then the value of $$\int_{ 1 }^{ -32a }\left(e^{x}- \frac {1}{x}\right)dx$$ is \_\_\_\_\_\_.

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