Question
Asked Nov 25, 2019
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Use a change of variables to evaluate the following integral
cos x) sin x dx
5
-(cos 'x-5 cos x-c
(cos 7x-5 cos x- cos x) sinx dx
5
(Use C as the arbitrary constant.)
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Use a change of variables to evaluate the following integral cos x) sin x dx 5 -(cos 'x-5 cos x-c (cos 7x-5 cos x- cos x) sinx dx 5 (Use C as the arbitrary constant.)

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Expert Answer

Step 1

The given integral is,

-(cosx-5 cos x-cos.x)sin x dx
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-(cosx-5 cos x-cos.x)sin x dx

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Step 2

The above integral can be split into the following integrals.

I -cosx sin x dx 5 cosx sin
dx fcosx sinx dx
coS x
=
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I -cosx sin x dx 5 cosx sin dx fcosx sinx dx coS x =

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Step 3

The first integral is evaluated using...

cos.x)
(Use the substitution, u =
-cos'x sinx --u'du
и
C1
8
coss x
+C
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cos.x) (Use the substitution, u = -cos'x sinx --u'du и C1 8 coss x +C

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Math

Calculus

Integration

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