Evaluate: `int(x)i spol y nom i a lfu n c t ionoft h en t h degr e e ,p rov et h a t-` `inte^xf(x)dx=e^x[f(x)f^(prime)(x)+f^(x)=f^(x)++(-1)^nf^((n))(x)]` Where `f^((n))(x)d e not e s(d^nf)/(dx^n)`

Explanation

To evaluate the integral \( I = \int e^x f(x) \, dx \), where \( f(x) \) is a polynomial function of degree \( n \), we can use integration by parts repeatedly. Let's go through the steps:

### Step 1: Set Up the Integral
We start with the integral:
\[ I = \int e^x f(x) \, dx \]

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