antiderivative help !

[sprocker77]

im doing a math problem and im stuck. i need to find the antiderivative of xln(x)-x. please show the steps needed

 

[Deleted member 4993]

im doing a math problem and im stuck. i need to find the antiderivative of xln(x)-x. please show the steps needed

Do you know how to find the antiderivative of x*ln(x) ?

 

[galactus]

Write as \(\displaystyle \int xln(x)dx-\int xdx\)

Use parts on the first one.

Try letting \(\displaystyle u=ln(x), \;\ dv=xdx\)