Find the integral`intsecx(secx+tanx)dx`

Explanation

To solve the integral \( \int \sec x (\sec x + \tan x) \, dx \), we can break it down into simpler parts. Here’s a step-by-step solution:

### Step 1: Expand the Integral
We start with the integral:
\[ \int \sec x (\sec x + \tan x) \, dx \]
We can distribute \( \sec x \) inside the parentheses:
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