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Mathematics
Mathematics
Problem
Evaluate
∫
ln
x
d
x
\displaystyle \int \ln x\,dx
∫
ln
x
d
x
. a)
x
ln
x
−
x
2
2
+
C
x\ln x - \dfrac{x^{2}}{2} + C
x
ln
x
−
2
x
2
+
C
b)
(
ln
x
)
2
2
+
C
\dfrac{(\ln x)^{2}}{2} + C
2
(
ln
x
)
2
+
C
c)
x
ln
x
−
x
+
C
x\ln x - x + C
x
ln
x
−
x
+
C
d)
x
ln
x
+
C
x\ln x + C
x
ln
x
+
C
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