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Q.∫x2(xsin⁡x+cos⁡x)2 dx\int \dfrac{x^2}{(x \sin x + \cos x)^2} \, dx equals

a
cos⁡xxsin⁡x+cos⁡x+C\dfrac{\cos x}{x \sin x + \cos x} + C
b
sin⁡xxsin⁡x+cos⁡x+C\dfrac{\sin x}{x \sin x + \cos x} + C
c
−cos⁡xxsin⁡x+cos⁡x+C\dfrac{-\cos x}{x \sin x + \cos x} + C
d
xtan⁡x+Cx \tan x + C

Correct Answer: Option C

The correct solution involves applying the fundamental concept to derive the final value step by step...

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