\int \sin ^{-1} \sqrt{\frac{x}{a+x}} \dx= [AP EAPCET 20 May 2024 Shift 2]

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

(a+x) {\Tan}^{-1} \sqrt{\frac{x}{a}}-\sqrt{a x}+c

\frac{1}{a+x} {\Tan}^{-1} (\frac{x}{a}) -\sqrt{a x}+c

(a+x) {\Tan}^{-1} (\frac{a}{x}) +\sqrt{a x}+c

\sqrt{a+x} {\Tan}^{-1} (\frac{x}{a}) +a x+c

Indefinite Integration

Section: Mathematics

Question : 70 of 89

Marks: +1, -0

∫sin‌−1√‌

a+x

‌dx=

[AP EAPCET 20 May 2024 Shift 2]

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