`int x*2ln(x^(2)+1)*dx`

int x*2^(ln(x^(2)+1))dx equals

int x.2^(ln(x^(2)+1))dx

int x.2^(ln(x^(2)+1))dx is equal to

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

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

If int x log (1+x^(2))dx= phi (x) log (1+x^(2))+x(Psi)+C , then

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

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

(int_(0)^(1)ln x ln(1-x)dx)/(int_(0)^((1)/(sqrt(2)))x ln x ln(1-x^(2))dx) is equal to