first-make-a-substitution-and-then-use-integration-by-parts-to-evaluate-the-integral-displaystyle--3

Question

First make a substitution and then use integration by parts to evaluate the integral.

$ \displaystyle \int_0^\pi e^{\cos t} \sin 2t dt $

Wen Zheng · Accepted Answer

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Problem

First make a substitution and then use integratio…

Problem 40 Hard Difficulty

First make a substitution and then use integration by parts to evaluate the integral.

$ \displaystyle \int_0^\pi e^{\cos t} \sin 2t dt $

Answer

$\int_{0}^{\pi} e^{\cos t} \sin 2 t d t=\frac{4}{e}$

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