\int{f(x)\phi'(x)+\phi(x)f'(x)}/{(f(x)\phi(x)+1)\sqrt{f(x)\phi(x)-1}dx=

Correct Answer is : √2tan−1√f(x)φ(x)−12+c

\sin^{-1}\sqrt{\frac{f(x)}{\phi(x)}}

\cos^{-1}\sqrt{({f(x)})^2-({\phi(x)})^2}+c

\sqrt2\tan^{-1}\sqrt{{f(x)\phi(x)-1 }/2}+c

\sqrt2\tan^{-1}\sqrt{{f(x)\phi(x)+1 }/2}+c

WBJEE 2020 Math Solved Paper

Question : 3 of 75

Marks: +1, -0

∫

f(x)φ′(x)+φ(x)f′(x)

(f(x)φ(x)+1)√f(x)φ(x)−1

dx=

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