
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 the function be $$f(x)=(x^{2}+ \frac {1}{x})^{n}$$, where $$n=5 \int_{ 0 }^{ \frac {\pi}{2} } \cos x dx$$, then the coefficient of $x^{4}$ in the expansion of $f(x)$ is \_\_\_\_\_\_.

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