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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
xetan1x+c
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D
xetan1x+c
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Solution

The correct option is C xetan1x+c
etan1x(1+x+x2)d(cot1x)
I=etan1x(1+x+x2)((11+x2)dx)
=etan1x(1+x1+x2)dx
=d(xetan1x)
=xetan1x+C

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