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Question

For 0xπ, the area bounded y=x and y=x+sin x, is

A
2
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B
4
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C
2π
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D
4π
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Solution

The correct option is A 2
The curves y=x and y=x+sin x intersect at (0, 0) and (π,π). Hence area bounded by the two curves
=π0(x+sin x)dxπ0xdx=π0sin xdx
=[cos x]π0=cosπ+cos 0=(1)+(1)=2.

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