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Question

Let qN and p(π2,π2). Then, the value of p+qπ0|cosx| dx is

A
2q+sinp
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B
2q+1sinp
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C
2q+cosp
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D
2q1+cosp
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Solution

The correct option is A 2q+sinp
Let I=p+qπ0|cosx|dx
I=p0|cosx| dx+p+qπp|cosx| dx
Using the property:
a+nTaf(x) dx=nT0f(x) dx[T is the period of f(x)]I=p0|cosx| dx+qπ0|cosx| dxI=[sinx]p0+2qπ20(cosx)dxI=2q+sinp

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