Question

Tentukan nilai dari integral berikut!

Answer 1

Verified answer

Integral

Misal
u = 5 - x³
du/dx = -3x²
3x² dx = - du
6x³ dx = - 2 du

________

∫6x² √(5 - x³) dx
= ∫u ^1/2 . -2 du
= -2/(3/2) . u ^3/2 + C
= -4/3 (5 - x³)√(5 - x³) + C

Answer 2

Verified answer