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Question

Evaluate the integral
π/20secxsecx+cosecxdx

A
π/3
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B
π/2
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C
π/4
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D
π/8
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Solution

The correct option is A π/4

I=π20secxsecx+cosecxdx

a0f(x)dx=a0f(ax)dx

I=π20secxsecx+cosecxdx=π20cosecxsecx+cosecxdx=I

2I=π201dx

2I=π2

I=π4


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