The value of the integral ∫a+π2a(|sinx|+|cosx|)dxis
A
aπ
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B
2aπ
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C
aπ2
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D
independent of a
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Solution
The correct option is Dindependent of a Since (|sin x|+|cos x|) is a periodic function with period π2, therefore, ∫a+π2a(|sinx|+|cosx|)dxis independent of a.