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Question

π4π4ex.sec2xdxe2x1is equal to


A

0

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B

2

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C

e

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D

2e

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Solution

The correct option is D

0


Let I=π4π4exsec2xdxe2x1
If f(x)=exsec2xe2x1If f(x)=exsec2xe2x1f(x)=exsec2xe2x1=exsec2x1e2x=exsec2xe2x1=f(x)I=0
( f(x) is odd function)


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