Question

Tolong di bantu
hitunglah luas daerah yang di batasi oleh kurva-kurva berikut
1. y = 3x , y = x ²

Answer 1

Cari batasnya dulu
x²= 3x
x² - 3x = 0
x(x - 3) = 0
x = 0 atau x = 3

Luas = int [0 - 3] (3x - x²) dx
= (3/2)x² - (1/3)x³ [0 - 3]
= (3/2)(9) - (1/3)(27)
= 27/2 - 9
= 27/2 - 18/2
= 9/2 satuan luas