is the integral of the square root of x*ln(x)

=(2/3 x^(3/2))(lnx-2/3)
?

2 answers

IF you mean
int [ ln (x) * x^(1/2) dx
I get from integral table
x^(3/2) [ ln(x)/(3/2) - 4/9 ]
So yes, we agree.