Question

Hasil integral (6x+15)(x²+5x-11)^5 dx =

Answer 1

Misal : u = x^2+5x-11)^5
du/dx = 2x+5
dx = du/2x+5

integral (6x+5)(x^2+5x-11)^5 dx
= integral (6x+5) u^5 dx
= integral (6x+5) u^5 du/2x+5
= integral (6x+5) u^5 du/1(2x+5)
= 1/1 . 1/6 u^6 + c
= 1/6 u^6 + c
=1/6 (x^2+5x-11)^6 + c