MathDB
Today's calculation of Integral 196

Source: created by kunny

March 31, 2007
calculusintegrationtrigonometryderivativecalculus computations

Problem Statement

Calculate ∫0πe−xsin⁡nx dx∫0πexsin⁡nx dx (n=1, 2, ⋯ ).\frac{\int_{0}^{\pi}e^{-x}\sin^{n}x\ dx}{\int_{0}^{\pi}e^{x}\sin^{n}x \ dx}\ (n=1,\ 2,\ \cdots).
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