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Question

Solve:
π20sinxsinx+cosxdx

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Solution

We have,
I=π20sinxsinx+cosxdx ........(1)

We know that
baf(x) dx=baf(a+bx) dx

Therefore,
I=π20cosxcosx+sinxdx ........(2)

On adding equations (1) and (2), we get
2I=π20sinx+cosxsinx+cosxdx

2I=π201 dx

2I=[x]π20

2I=π2

I=π4

Hence, this is the answer.

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