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Mathematics
Mathematics
Problem
Determine the value of the definite integral
∫
1
e
x
ln
x
d
x
\displaystyle\int_{1}^{e} x\ln x \, dx
∫
1
e
x
ln
x
d
x
. a)
e
2
−
1
4
\dfrac{e^{2}-1}{4}
4
e
2
−
1
b)
e
2
4
\dfrac{e^{2}}{4}
4
e
2
c)
e
2
+
1
4
\dfrac{e^{2}+1}{4}
4
e
2
+
1
d)
e
2
+
1
2
\dfrac{e^{2}+1}{2}
2
e
2
+
1
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