if ∫ \sin^{-1}(\sqrt{x/{a+x}) dx = A (x) + constant , then A (x) =

Correct Answer is : (a + x) tan−1√xa−√ax

1/\sqrt{a+x} \tan^{-1}\sqrt{x/a} - \sqrt{ax}

(a + x) \tan^{-1}\sqrtx + a\sqrtx

(a + x) \tan^{-1}\sqrt{x/a}-\sqrt{ax}

TS EAMCET 7 May 2018 Shift 1 Solved Paper

Section: Mathematics

Question : 71 of 160

Marks: +1, -0

if ∫ sin−1(√

a+x

) dx = A (x) + constant , then A (x) =

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