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intcot^(-1)(1-x+x^2)dx=...

`intcot^(-1)(1-x+x^2)dx=`

A

`xtan^(-1)x+(1-x)tan^(-1)(1-x)+(1)/(2)log|1+x^2|+(1)/(2)log|1+(1-x^2)|+c`

B

`xtan^(-1)x-(1-x)tan^(-1)(1-x)+(1)/(2)log|1+x^2|+(1)/(2)log|1+(1-x^2)|+c`

C

`xtan^(-1)x-(1-x)tan^(-1)(1-x)-(1)/(2)log|1+x^2|+(1)/(2)log|1+(1-x^2)|+c`

D

`xtan^(-1)x-(1-x)tan^(-1)(1-x)+(1)/(2)log|1+x^2|-(1)/(2)log|1+(1-x^2)|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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