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Today's calculation of Integral 643

Source:

August 24, 2010
calculusintegrationtrigonometrycalculus computations

Problem Statement

Evaluate
∫0πx1+sin⁡3x{(3πcos⁡x+4sin⁡x)sin⁡2x+4}dx.\int_0^{\pi} \frac{x}{\sqrt{1+\sin ^ 3 x}}\{(3\pi \cos x+4\sin x)\sin ^ 2 x+4\}dx.
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