Question

The integral ∫(sin²xcos²x)/(sin⁵x + cos³xsin²x + sin³xcos²x + cos⁵x)²dx is equal to

(where C is a constant of integration) 

(A) - 1/3(1 + tan³x) + c

(B) 1/(1 + cot³x) + c

(C) - 1/(1 + cot³x) + c

(D) - 1/3(1 + tan³x) + c

Answer 1

Answer is (A) - 1/3(1 + tan³x) + c

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