Evaluate: `int_0^pi(xtanx)/(secx+tanx)\ dx`

Options

A. `(pi^(2))/4`
B. `(pi^(2))/2`
C. `(3pi^(2))/2`
D. `(pi^(2))/3`

Explanation

To evaluate the integral

\[ I = \int_0^{\pi} \frac{x \tan x}{\sec x + \tan x} \, dx, \]

we will use the property of definite integrals that states:

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