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Mathematics
Mathematics
Problem
Let
H
(
x
)
=
∫
0
x
(
3
t
2
−
2
t
+
1
)
d
t
H(x)=\displaystyle\int_{0}^{x}\left(3t^{2}-2t+1\right)\,dt
H
(
x
)
=
∫
0
x
(
3
t
2
−
2
t
+
1
)
d
t
. Determine
H
′
(
x
)
H'(x)
H
′
(
x
)
. a)
6
x
−
2
6x-2
6
x
−
2
b)
x
3
−
x
2
+
x
x^{3}-x^{2}+x
x
3
−
x
2
+
x
c)
3
x
2
−
2
x
+
1
3x^{2}-2x+1
3
x
2
−
2
x
+
1
d)
3
x
2
−
2
x
3x^{2}-2x
3
x
2
−
2
x
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