Mathematics · Integration
The integral ∫ sin2(x) cos2(x)(sin5(x) + cos3(x) sin2(x) + sin3(x) cos2(x) + cos5(x))2 dx is equal to:
- 1-11 + cos3(x) + c
- 211 + cot3(x) + c
- 3-13(1 + tan3(x)) + c✓
- 413(1 + tan3(x)) + c
Correct answer
-13(1 + tan3(x)) + c
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