If I=\int \frac{x^2 \dx}{(x \sin x+\cos x)^2}=f(x)+\tan x+c, then f(x) is

Correct Answer is : −xcosx(xsinx+cosx)

\frac{ \sin x}{x \sin x+\cos x}

\frac{-x}{\cos x(x \sin x+\cos x)}

\frac{1}{ \sin x(x \cos x+ \sin x)}

WBJEE 2023 Math Solved Paper

Question : 6 of 75

Marks: +1, -0

If I=∫‌

x2‌dx

(xsin‌x+cos‌x)2

=f(x)+tan‌x+c, then f(x) is

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