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Question

Evaluate the following integrals:
-π/2π/2sin x+cos x dx

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Solution

-π2π2sin x+ cos x dxSince, f-x=sin -x + cos -x=sin x + cos x=fxSo, fx is an even function.I=20π2sin x+cos x dxI=2-cos x+sin x0π2I=20+1+1-0I=4

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