# Trigonometry kills! (4)

Calculus Level 4

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

Compute the integral above. Give your answer up to 3 decimal places.

For your final step, use the approximation, $$\pi = \dfrac{22}7$$.

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