Question

Integral dari (x-1)^2 per x akar x
pakai cara yaaa, butuh cepat, tolong,..
^ = akar

Answer 1

Coba kamu uraikan dulu
int (x - 1)² / x√x  dx
= int (x² - 2x + 1) / x^(3/2)  dx
= int (x^(1/2) - 2x^(-1/2) + x^(-3/2)) dx
= 1/(1/2 + 1) x^(1/2 + 1) - 2/(-1/2 + 1) x^(-1/2 + 1) + 1/(-3/2 + 1) x^(-3/2 + 1) + c
= (2/3) x^(3/2) - 4x^(1/2) - 2x^(-1/2) + c
= (2/3) x√x - 4√x - 2/√x + c

ket: ^ = pangkat