\int {\Sin}^{-1} (\sqrt{\frac{x-a}{x}}) {\d} x= [AP EAPCET 23 May 2024 S1]

Correct Answer is : xCos−1√ax−√ax−a2+c

x {\Cos}^{-1} \sqrt{\frac{a}{x}}-\sqrt{a x-a^2}+ {\c}

x {\Sec}^{-1} \sqrt{\frac{a}{x}}+\sqrt{x^2-a x}+ {\c}

x {\Sin}^{-1} \sqrt{\frac{x}{a}}+\sqrt{x^2+a x}+ {\c}

\frac{x}{a} {\Sin}^{-1} \frac{x}{a}+\frac{x^2}{a} \sqrt{1+a^2}+ {\c}

Indefinite Integration

Section: Mathematics

Question : 41 of 89

Marks: +1, -0

∫Sin−1(√‌

x−a

)dx=

[AP EAPCET 23 May 2024 S1]

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