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

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

A

`logabs(sqrt(1+x))-1/2logabs(sqrt(1+x^(2)))+1/2tan^(-1)x+c`

B

`logabs(sqrt(1+x))-logabs(sqrt(1+x^(2)))+tan^(-1)x+c`

C

`logabs(sqrt(1+x^(2)))-logabs(sqrt(1+x))+1/2tan^(-1)x+c`

D

`logabs(sqrt(1+x))+tan^(-1)x+logabs(sqrt(1+x^(2)))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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