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Evaluate: int1/((x^2-1)sqrt(x^2+1))\ dx...

Evaluate: `int1/((x^2-1)sqrt(x^2+1))\ dx`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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