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The integral int (sin^2xcos^2x)/(sin^5x+...

The integral `int (sin^2xcos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^5x)^2 dx` is equal to (1) `1/(3(1+tan^3x))+C` (2) `(-1)/(3(1+tan^3x))+C` (3) `1/(1+cot^3x)+C` (4) `(-1)/(1+cot^3x)+C`

A

`1/(1+cot^(3)x)`+C

B

`-1/(1+cot^(3)x)+C`

C

`1/(3(1+tan^(3)x))+C`

D

`-1/(3(1+tan^(3)x))+C`

Text Solution

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