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The integral of sin cubed x times cos x, using u = sin x, equals which function?
Asin³x/3 + C
Bsin⁴x/4 + C
Csin⁴x + C
D−sin⁴x/4 + C
Answer & Solution
Correct answer: B. sin⁴x/4 + C
Putting u = sin x gives du = cos x dx, so the integral is ∫u³ du = u⁴/4.
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