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int (1)/(sqrt(1+x^(4)))dx=...

`int (1)/(sqrt(1+x^(4)))dx=`

A

`(1)/(4)log|(x+(1+x^(4))^(1//4))/(x-(1+x^(4))^(1//4))|-(1)/(4)"Tan"^(-1)((1+x^(4))^(1//4))/(x)+c`

B

`(1)/(4)log|(x+(1+x^(4))^(1//4))/(x+(1+x^(4))^(1//4))|+(1)/(4)"Tan"^(-1)((1+x^(4))^(1//4))/(x)+c`

C

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

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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