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int(x^(2)-1)/((x^(2)+1)sqrt(1+x^(4)))dx ...

`int(x^(2)-1)/((x^(2)+1)sqrt(1+x^(4)))dx` is equal to

A

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

B

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

C

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

D

d) None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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