intxsqrt((a^2-x^2)/(a^2+x^2)) dx...

`intxsqrt((a^2-x^2)/(a^2+x^2)) dx`

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

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

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

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

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The correct Answer is:

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intxsqrt(x^(2)-x)dx=?

`(1)/(3)(x^(2)-1)^((3)/(2))+C`

`(2)/(3)(x^(2)-1)^((3)/(2))+C`

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

none of these

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

`sqrt(1+x^(2))+c`

`3(1+x^(2))^(3//2)+c`

`1/3(1+x^(2))^(3//2)+c`