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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Evaluate
∫
x
ln
x
d
x
\displaystyle \int x\ln x\,dx
∫
x
ln
x
d
x
. (a)
x
2
2
ln
x
+
x
2
4
+
C
\dfrac{x^{2}}{2}\ln x + \dfrac{x^{2}}{4} + C
2
x
2
ln
x
+
4
x
2
+
C
(b)
x
2
ln
x
−
x
2
2
+
C
x^{2}\ln x - \dfrac{x^{2}}{2} + C
x
2
ln
x
−
2
x
2
+
C
(c)
x
2
2
ln
x
−
x
2
4
+
C
\dfrac{x^{2}}{2}\ln x - \dfrac{x^{2}}{4} + C
2
x
2
ln
x
−
4
x
2
+
C
(d)
x
2
2
ln
x
−
x
2
2
+
C
\dfrac{x^{2}}{2}\ln x - \dfrac{x^{2}}{2} + C
2
x
2
ln
x
−
2
x
2
+
C
Related theory
Integration by Parts
Integration Techniques
Integrals
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