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int dx/(1+x+x^2+x^3) dx=...

`int dx/(1+x+x^2+x^3) dx=`

A

`(1)/(2)log|1+x|+(1)/(4)log|1+x^2|+(1)/(2)tan^(-1)x+c`

B

`(1)/(2)log|1+x|-(1)/(4)log|1+x^2|-(1)/(2)tan^(-1)x+c`

C

`(1)/(2)log|1+x|+(1)/(4)log|1+x^2|-(1)/(2)tan^(-1)x+c`

D

`(1)/(2)log|1+x|-(1)/(4)log|1+x^2|+(1)/(2)tan^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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