求曲线y=x2与y=2x所围成的平面图形面积

2025-06-20 15:49:18
推荐回答(1个)
回答1:

y=x^2 (1)
y=2x (2)
(1)=(2)
x^2-2x=0
x=0 or 2
A= ∫ (0->2) (y2-y1) dx
=∫ (0->2) (2x-x^2) dx
= [x^2-(1/3)x^3] |(0->2)
=4 - 8/3
= 4/3