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Today's calculation of Integral 646

Source:

September 17, 2010
calculusintegrationtrigonometrylogarithmscalculus computations

Problem Statement

Evaluate
∫0πaxcos⁡bx dx, ∫0πaxsin⁡bx dx (a>0, a≠1, b∈N+)\int_0^{\pi} a^x\cos bx\ dx,\ \int_0^{\pi} a^x\sin bx\ dx\ (a>0,\ a\neq 1,\ b\in{\mathbb{N^{+}}})
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