Evaluate ∫xlnx dx\int x\ln x\,dx∫xlnxdx using integration by parts.
x22lnx−x24+C\frac{x^2}{2}\ln x - \frac{x^2}{4} + C2x2lnx−4x2+C
x22lnx+C\frac{x^2}{2}\ln x + C2x2lnx+C
x2lnx2+x24+C\frac{x^2 \ln x}{2} + \frac{x^2}{4} + C2x2lnx+4x2+C
x2lnx−x22+Cx^2\ln x - \frac{x^2}{2} + Cx2lnx−2x2+C