Evaluate the following integrals : `int(atanx+bcotx)^2dx`

Explanation

To evaluate the integral \( \int (\tan x + b \cot x)^2 \, dx \), we can follow these steps:

### Step 1: Expand the integrand
Using the formula for the square of a binomial, \( (a + b)^2 = a^2 + 2ab + b^2 \), we can expand the integrand:

\[ (\tan x + b \cot x)^2 = \tan^2 x + 2b \tan x \cot x + b^2 \cot^2 x \]
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