Determine the value of the integral I=∫0πxsinx1+cos2xdxI = \int_0^{\pi} \frac{x \sin x}{1 + \cos^2 x} dxI=∫0π1+cos2xxsinxdx.
π2/4\pi^2 / 4π2/4
π2/2\pi^2 / 2π2/2
π/2\pi / 2π/2
π2/8\pi^2 / 8π2/8