integral (√x - 3)³ dx

jawab

∫ (√x  - 3)³ dx
= ∫ (√x)³ - 3(√x)²(3) + 3(√x)(9) + (27)  dx
= ∫ x^(3/2)  - 9x  + 27 x^(1/2) + 27  dx
= 2/5 x ^(5/2)  - 9/2 x²  + 27(2/3) x^(3/2) + 27x + c
= (2/5) x²√ x  - (9/2) x² + 19  x√x + 27 x + c