Mathematics

The integral $$\displaystyle\int\dfrac{\sin^2x\cos^2x}{(\sin^5x+\cos^3x\sin^2x+\sin^3x\cos^2x+\cos^5x)^2}dx$$ is equal to?


ANSWER

$$\dfrac{-1}{3(1+\tan^3x)}+C$$


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Single Correct Medium Published on 17th 09, 2020
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