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Mathematics
Problem
Evaluate the definite integral
I
=
∫
1
2
(
3
x
2
+
4
x
)
e
x
3
+
2
x
2
+
5
d
x
.
I=\int_{1}^{2}(3x^{2}+4x)\,e^{x^{3}+2x^{2}+5}\,dx.
I
=
∫
1
2
(
3
x
2
+
4
x
)
e
x
3
+
2
x
2
+
5
d
x
.
Provide all steps leading to the exact numerical value of
I
I
I
.
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