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Mathematics
Problem
For the integral
∫
x
e
x
2
d
x
\displaystyle\int x e^{x^{2}}\,dx
∫
x
e
x
2
d
x
, which substitution will directly convert the integrand to
e
u
d
u
e^{u}\,du
e
u
d
u
? a)
u
=
e
x
2
u = e^{x^{2}}
u
=
e
x
2
b)
u
=
e
x
u = e^{x}
u
=
e
x
c)
u
=
x
2
u = x^{2}
u
=
x
2
d)
u
=
x
2
+
1
u = x^{2}+1
u
=
x
2
+
1
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