MathDB
Today's calculation of Integral 112

Source:

June 18, 2006
calculusintegrationtrigonometryconicscalculus computations

Problem Statement

Evaluate 0π2dθ(1e2sin2θ)3 (e<1 is a constant number).\int_0^{\frac{\pi}{2}} \frac{d\theta }{(1-e^2\sin ^ 2 \theta)^3}\ (e<1\ \text{is a constant number}).