Nasty Integral

Calculus Level 4

\[ \large \displaystyle\int_{-\pi}^{\pi} \dfrac{2x(1+\sin x)}{1+ \cos^2x} \, dx \]

The integral above has a closed form. Find the value of this closed form.

For your step of your calculation, take \(\pi = 3.14\).

Round your answer to 2 decimal places.

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