Question
Asked Oct 29, 2019
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Use integration by parts to evaluate the integral.
6
3 e
cos x dk
0
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Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

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Expert Answer

Step 1

The given integral is,

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3e cosx d 0 No

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Step 2

Compute the value of the integral by using integration by parts as follows.

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Let u e*,v dv = cosx 3e2 cosx dx 3 e sin x e sinx d 0 0 Let u e,v dv = sinx 3 e sinx -e cosx -e*sinx d3| e*sin x6 e cosx d 3e* cosx d =3 e* sinx 6 lo -e* cosx6 cOsr d 0

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Step 3

Further simplify the int...

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Let e cos.x dr u -e cosx-(u) sin x 3u 3e e sin x ecosx 2 2 e cosx e sin 6 2 2

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Tagged in

Math

Calculus