如图所示,利用定积分求平面域的面积,求详细过程和草图,谢谢!

2024-11-17 11:11:18
推荐回答(2个)
回答1:

方法如下图所示,
请认真查看,
祝学习愉快,
学业进步!

满意请釆纳!

回答2:

x=y^2 (1)
x+y=2 (2)
sub (2) into (1)
2-y =y^2
y^2+y-2=0
(y+2)(y-1) =0
y=-2 or 1
A
=∫(-2->1) [(2-y ) - y^2] dy
=[ 2y -(1/2)y^2-(1/3)y^3] |(-2->1)
=( 2- 1/2 -1/3) -( -4- 2 +8/3)
=7/6 +10/3
=(7+20)/6
=27/6
=9/2