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Today's calculation of integral 95

Source: Shibaura Institute of Technology entarance exam 2006 Feb

February 3, 2006
calculusintegrationtrigonometrycalculus computations

Problem Statement

Evaluate π4π32sin3xcos5xdx. \int_\frac{\pi}{4}^\frac{\pi}{3} \frac{2\sin ^ 3 x}{\cos ^ 5 x} dx.