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Question

etan1x(1+x+x2).d(cot1x) is equal to


A

etan1x+C

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B

etan1x+C

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C

x.etan1x+C

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D

x.etan1x+C

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Solution

The correct option is C

x.etan1x+C


I=etan1x(1+x+x2).(11+x2)dx
=etan1x(1+x1+x2)dx
=etan1xdxx.etan1x1+x2dx
=etan1xdxx.etan1x+etan1xdx+C
=x.etan1x+C


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