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If int((x^2-x+1)/(x^2+1)).e^(cot^(-1)x)d...

If `int((x^2-x+1)/(x^2+1)).e^(cot^(-1)x)dx=A(x).e^(cot^-1x)+C,` where C is constant of integration, then A(x) is equal to

A

`-x`

B

`sqrt(1-x)`

C

x

D

`sqrt(1+x)`

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The correct Answer is:
C
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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 67-MATHEMATICS
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