int sqrt(1-sqrtx)/(sqrt(1+sqrtx))dx...

`int sqrt(1-sqrtx)/(sqrt(1+sqrtx))dx `

`sqrt(1-x)(sqrtx-2)-sin^(-1)sqrtx+c`

`sqrt(1-x)(sqrtx-2)+sin^(-1)sqrtx+c`

`sqrt(1-x)(sqrtx-2)+cos^(-1)sqrtx+c`

`sqrt(1-x)(sqrtx-2)-cos^(-1)sqrtx+c`

Verified by Experts

The correct Answer is:

A, C

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The value of integral int_3^6 (sqrtx dx)/(sqrt(9-x) +sqrtx) is

3/2

none of these

`1/2{1/sqrt(1-2x)-1/sqrt(3-2x)}+c`

`1/6{(1-2x)^(3//2)-(3-2x)^(3//2)}+c`

`1/6{(1-2x)^(3//2)+(3-2x)^(3//2)}+c`

`1/2{(1-2x)^(3//2)+(3-2x)^(3//2)}+c`