12.
:
f(x)
3+x 9x3,0≤x≤1,
f(x)=
a+b(x 1)+c(x 1)2+d(x 1)3,1≤x≤2.
2
[f (x)]2dx
f(1 )=f(1+)f (1 )=f (1+)
f(1 )=f (1+)
a= 5b= 26
c= 27.
f(x)=2c+6d(x 1)=6((x 1)d 9),
1
d=27
2
[f (x)]2dx
3
d2 9d+81,
3
2(x 1),1≤x≤2.
13.
2-15
10
30
50
10
21
02
12.
:
f(x)
3+x 9x3,0≤x≤1,
f(x)=
a+b(x 1)+c(x 1)2+d(x 1)3,1≤x≤2.
2
[f (x)]2dx
f(1 )=f(1+)f (1 )=f (1+)
f(1 )=f (1+)
a= 5b= 26
c= 27.
f(x)=2c+6d(x 1)=6((x 1)d 9),
1
d=27
2
[f (x)]2dx
3
d2 9d+81,
3
2(x 1),1≤x≤2.
13.
2-15
10
30
50
10
21
02
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