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int(dx)/(1+x+x^2+x^3) is equal to...

`int(dx)/(1+x+x^2+x^3)` is equal to

A

`logsqrt(1+x)-1/2logsqrt(1+x^2)+1/2tan^(-1)x+C`

B

`logsqrt(1+x)-logsqrt(1+x)+tan^(-1)+C`

C

`logsqrt(1+x^2)-logsqrt(1+x)+1/2tan^(-1)x+C`

D

`logsqrt(1+x)+tan^(-1)x+logsqrt(1+x^2)+C`

Text Solution

Verified by Experts

The correct Answer is:
A
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