Question

integration of x to the power n log x dx

Answer 1

4 Use Power Rule: ∫xndx=xn+1n+1+C\int {x}^{n} \, dx=\frac{{x}^{n+1}}{n+1}+C∫x​n​​dx=​n+1​​x​n+1​​​​+C
x2lnx2−x24\frac{{x}^{2}\ln{x}}{2}-\frac{{x}^{2}}{4}​2​​x​2​​lnx​​−​4​​x​2​​​​
5 Add constant
x2lnx2−x24+C\frac{{x}^{2}\ln{x}}{2}-\frac{{x}^{2}}{4}+C​2​​x​2​​lnx​​−​4​​x​2​​​​+C