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Mathematics
Mathematics
Problem
Find
∫
g
′
(
x
)
g
(
x
)
d
x
\displaystyle \int \frac{g'(x)}{g(x)}\,dx
∫
g
(
x
)
g
′
(
x
)
d
x
. a)
ln
(
g
(
x
)
)
+
C
\ln\bigl(g(x)\bigr)+C
ln
(
g
(
x
)
)
+
C
b)
ln
∣
g
(
x
)
∣
+
C
\ln|g(x)|+C
ln
∣
g
(
x
)
∣
+
C
c)
g
(
x
)
+
C
g(x)+C
g
(
x
)
+
C
d)
1
g
(
x
)
+
C
\dfrac{1}{g(x)}+C
g
(
x
)
1
+
C
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