Evaluate the integral I=∫0πsin(x)1+cos2(x) dxI = \int_{0}^{\pi} \frac{\sin(x)}{1 + \cos^2(x)} \, dxI=∫0π1+cos2(x)sin(x)dx using the substitution u=cos(x)u = \cos(x)u=cos(x).
π/2\pi/2π/2
π/4\pi/4π/4
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