问题
选择题
设f(x)=
|
答案
∵f(x)=
,x2(0≤x<1) 2-x(1<x≤2)
∴
f(x)dx=∫ 20
x2dx+∫ 10
(2-x)dx=∫ 21
x31 3
+(2x-| 10
x2)1 2
=| 21
+(2×2-1 3
×22)-2+1 2
=1 2
+2-2+1 3
=1 2
,5 6
故选:A.
设f(x)=
|
∵f(x)=
,x2(0≤x<1) 2-x(1<x≤2)
∴
f(x)dx=∫ 20
x2dx+∫ 10
(2-x)dx=∫ 21
x31 3
+(2x-| 10
x2)1 2
=| 21
+(2×2-1 3
×22)-2+1 2
=1 2
+2-2+1 3
=1 2
,5 6
故选:A.