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

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

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 .

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 .

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

overset(1)underset(0)int x log(1+2x)dx

1) int x log x^(2)dx

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

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

Evaluate int_(0)^(1/2)x log(1-x)dx

Evaluate: underset0oversetinfty int 1/(1+x^2)log (x+1/x)dx