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Question

The value of π/2π/2 cos x1+ex dx is equal to

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Solution

Let I=π/2π/2 cos x1+ex dxThen, I=π/20 (cos x1+ex +cos (x)1+ex} dx(As aaf(x) dx=a0(f(x)+f(x)} dx]I=π/20 (cos x1+ex +cos x1+ex} dxI=π/20 (11+ex +ex1+ex} cos x dxI=π/20 (1+ex1+ex } cos x dxI=π/20 cos x dxI=(sin x]π/20=sin π2sin 0=1

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