Does this integral $\int x \ln x d x$ = $\frac { x ^ { 2 } } { 2 }$ ln x - $\frac { x ^ { 2 } } { 4 }$ + C?

Name: Does this integral $\int x \ln x d x$ = $\frac { x ^ { 2 } } { 2 }$ ln x - $\frac { x ^ { 2 } } { 4 }$ + C?
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Question

Quizplus · Accepted Answer

This integral can be solved using integration by parts, where $u = \ln x$ and $dv = x dx$. The solution indeed is $\frac{x^2}{2} \ln x - \frac{x^2}{4} + C$.

Does This Integral ∫xln⁡xdx\int x \ln x d x∫xlnxdx = x22\frac { x ^ { 2 } } { 2 }2x2​

Does This Integral $\int x \ln x d x$ = $\frac { x ^ { 2 } } { 2 }$