`int x^(2)*log x*dx`

Evaluate: int x^(2)log(1+x)dx

Evaluate: (i) int x^(x)(1+log x)dx( ii) int x^(2x)(1+log x)dx

int x^(2)(log x)^(2)dx

int e^(x^(2)+ln x)dx

int x^(2)log x backslash dx=....+c,(x>0)

If int x^(2) ln x dx = (x^(3))/(m) ln x + (x^(3))/(n) + c , then what are the values of m and n respectively ? where c is a constant od intergration

Evaluate int x^(2)log (1-x^(2))dx , and hence prove that (1)/(1.5)+(1)/(2.7)+(1)/(3.9)+...=2/3 log 2 - 8/9 .

int x (log x)^(2)dx

int (1)/(x sin^(2) (log x))dx

Evaluate int _(1) ^(3) x ^(2).log x dx