Mathematics

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


ANSWER

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


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Single Correct Medium Published on 17th 09, 2020
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