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Mathematics
Problem
∫
x
3
e
x
2
d
x
=
\int x^3 e^{x^2} dx =
∫
x
3
e
x
2
d
x
=
(a)
1
2
(
x
2
+
1
)
e
x
2
+
c
\frac{1}{2} (x^2 + 1) e^{x^2} + c
2
1
(
x
2
+
1
)
e
x
2
+
c
(b)
(
x
2
+
1
)
e
x
2
+
c
(x^2 + 1) e^{x^2} + c
(
x
2
+
1
)
e
x
2
+
c
(c)
1
2
(
x
2
−
1
)
e
x
2
+
c
\frac{1}{2} (x^2 - 1) e^{x^2} + c
2
1
(
x
2
−
1
)
e
x
2
+
c
(d)
(
x
2
−
1
)
e
x
2
+
c
(x^2 - 1) e^{x^2} + c
(
x
2
−
1
)
e
x
2
+
c
(a)
1
2
(
x
2
+
1
)
e
x
2
+
c
\frac{1}{2} (x^2 + 1) e^{x^2} + c
2
1
(
x
2
+
1
)
e
x
2
+
c
(b)
(
x
2
+
1
)
e
x
2
+
c
(x^2 + 1) e^{x^2} + c
(
x
2
+
1
)
e
x
2
+
c
(c)
1
2
(
x
2
−
1
)
e
x
2
+
c
\frac{1}{2} (x^2 - 1) e^{x^2} + c
2
1
(
x
2
−
1
)
e
x
2
+
c
(d)
(
x
2
−
1
)
e
x
2
+
c
(x^2 - 1) e^{x^2} + c
(
x
2
−
1
)
e
x
2
+
c
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