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Question

Find the integration of etan1x1+x2.dx

A
etan1x+C
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B
etan1x+C
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C
etan1x2+C
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D
etanx+C
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Solution

The correct option is A etan1x+C
Given, etan1x1+x2.dx

Let t=tan1x
dt=11+x2.dx
dx=(1+x2).dt
Putting these value in above integration
we have I=et.dt=et+C
I=etan1x+C

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