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

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

A

`(1)/(sqrt(2))sec^(-1)((x^(2)+1)/(sqrt(2)x))+C`

B

`sqrt(2) sec^(-1)((x^(2)+1)/(sqrt(2)x))+C`

C

`(1)/(sqrt(2))cosec^(-1)((x^(2)+1)/(sqrt(2)x))+C`

D

`sqrt(2)cosec^( -1)((x^(2)+1)/(sqrt(2)x))+C`

Text Solution

Verified by Experts

The correct Answer is:
A
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