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Evaluate: intx\ sqrt((a^2-x^2)/(a^2+x^2)...

Evaluate: `intx\ sqrt((a^2-x^2)/(a^2+x^2))\ dx`

A

`1/2a^(2)cos^(-1)(x^(2)/a^(2))+1/2sqrt(a^(4)+x^(4))+C`

B

`1/2sin^(-1)(x^(2)/a^(2))+sqrt(a^(4)+x^(4))+C`

C

`1/2a^(2)sin^(-1)(x^(2)/a^(2))+1/2sqrt(a^(4)-x^(4))+C`

D

`1/2cos^(-1)(x^(2)/a^(2))+1/2sqrt(a^(4)-x^(4))+C`

Text Solution

Verified by Experts

The correct Answer is:
c
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