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Mathematics
Problem
Let
E
(
x
)
=
e
x
2
E(x)=e^{x^{2}}
E
(
x
)
=
e
x
2
. Differentiate
E
E
E
and explain in one sentence why substituting
x
=
3
x=3
x
=
3
and
x
=
1
x=1
x
=
1
into
E
E
E
gives the exact value of
∫
1
3
2
x
e
x
2
d
x
\displaystyle \int_{1}^{3} 2x\,e^{x^{2}}\,dx
∫
1
3
2
x
e
x
2
d
x
.
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