Question

Dibantu dong kawan.. beserta caranya ya..

Answer 1

Verified answer

Jawab

y = 5x - x²
titik potong dengan sumbu x , y =0
0 = 5x - x²
x² - 5x =0
x(x - 5)= 0
x = 0  atau x= 5
luas dengan intergral x = 0, x = 5 dan x = 7

L = L1 +L 2
L = ₀⁵∫ 5x - x² dx  + ₇⁵∫5x - x²

L1 = [5/2 x² - 1/3 x³]⁵₀ 
= 5/2(25) - 1/3 (125)
= 125/2 - 125/3
= 125/6

L2 =  [5/2 x² - 1/3 x³ ]⁵₇
= 5/2 (25-49) - 1/3 (125-343)
= 5/2 (-24) - 1/3(-218)
= -120/2  + 218/3
= 38/3

L = L1 + L2
= 125/6 + 38/3
= 33 1/2