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

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

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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