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Question

If sin5xdx=15sin4xcosx+Asin2xcosx815cosx+C then A is equal to

A
2/15
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B
3/5
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C
4/15
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D
1/15
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Solution

The correct option is D 4/15
Let I=sin5xdx
Using sinmxdx=cosxsinm1xm+m1msin2+mxdx
I=15sin4xcosx+45sin3xdx
=15sin4xcosx415sin2xcosx+815sinxdx
=15sin4xcosx415sin2xcosx+815cosx

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