Evaluate: `inte^x\ [(secx+log(secx+tanx)]\ dx`

Explanation

To evaluate the integral \( I = \int e^x \left( \sec x + \log(\sec x + \tan x) \right) dx \), we can follow these steps:

### Step 1: Identify the function \( f(x) \)
We want to express the integrand in the form \( e^x (f(x) + f'(x)) \). Let's assume:
\[ f(x) = \log(\sec x + \tan x) \]

...