MathDB
Today's calculation of Integral 647

Source:

September 17, 2010
calculusintegrationtrigonometrylogarithmscalculus computations

Problem Statement

Evaluate
0πxpxcosqx dx, 0πxpxsinqx dx (p>0, p1, qN+)\int_0^{\pi} xp^x\cos qx\ dx,\ \int_0^{\pi} xp^x\sin qx\ dx\ (p>0,\ p\neq 1,\ q\in{\mathbb{N^{+}}})
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