Question

Hasil dari ∫sin² x cos x dx = ....

A. 2 sin x cos x + c
B. 1/3 cos³ x + c
C. 1/3 sin³ x + c
D. 2 sin³ x + c
E. cos x - cos³ x + c

Answer 1

U = sin x
du = cos x dx
∫ sin² x cos x dx = ∫ u² du  = ¹/₃ u³ + c
= ¹/₃  sin³ x + c