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Mathematics
Mathematics
Problem
∫
e
x
d
x
\int e^{\sqrt{x}}\,dx
∫
e
x
d
x
is equal to (A is an arbitrary constant) (a)
e
x
+
A
e^{\sqrt{x}} + A
e
x
+
A
(b)
1
2
e
x
+
A
\frac{1}{2}e^{\sqrt{x}} + A
2
1
e
x
+
A
(c)
2
(
x
−
1
)
e
x
+
A
2(\sqrt{x}-1)e^{\sqrt{x}} + A
2
(
x
−
1
)
e
x
+
A
(d)
2
(
x
+
1
)
e
x
+
A
2(\sqrt{x}+1)e^{\sqrt{x}} + A
2
(
x
+
1
)
e
x
+
A
(a)
e
x
+
A
e^{\sqrt{x}} + A
e
x
+
A
(b)
1
2
e
x
+
A
\frac{1}{2}e^{\sqrt{x}} + A
2
1
e
x
+
A
(c)
2
(
x
−
1
)
e
x
+
A
2(\sqrt{x}-1)e^{\sqrt{x}} + A
2
(
x
−
1
)
e
x
+
A
(d)
2
(
x
+
1
)
e
x
+
A
2(\sqrt{x}+1)e^{\sqrt{x}} + A
2
(
x
+
1
)
e
x
+
A
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