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Question

Evaluate: π/208sinθ+4cosθsinθ+cosθ.

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Solution

I=π/208sinθ+4cosθsinθ+cosθdθ
I=π/208sin(π/2θ)+4cos(π/2θ)sin(π/2θ)+cos(π/2θ)dθ
=π/208cosθ+4sinθsinθ+cosθdθ
2I=π/2012(sinθ+cosθsinθ+cosθ)dθ
=12]π/20
=12.π/2
I=6π2=3π

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