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Question

If I=1x22x3x21dx, then I equals

A
1
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B
0
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C
π/2
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D
π3
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Solution

The correct option is C 0
I=1x22x3x21dx
Put Put x=secudx=tanusecudu
I=π20cos2u(sec2u2)du=π20(1sin2u)(sec2u2)du
=π20(2sin2utan2u+sec2u2)du=π20du+2π20sin2udu
=π20duπ20cos2udu+π20du=[sin2u2]π20=0

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