Solve `intcos^(4)xdx=int(cos^(2)x)^(2)dx`

Explanation

To solve the integral \( \int \cos^4 x \, dx \), we can follow these steps:

### Step 1: Rewrite the integral
We know that \( \cos^4 x \) can be expressed as \( (\cos^2 x)^2 \). Thus, we rewrite the integral:
\[ \int \cos^4 x \, dx = \int (\cos^2 x)^2 \, dx \]

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