" 'f g) "int x log(1+x)dx

"int log((1)/(x))dx

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

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

int(1)/(log x)dx

If int x log(1+(1)/(x))dx=f(x)log(x+1)+g(x)x^(2)+dx+C, then

If int x log(1+(1)/(x))dx=f(x)log(x+1)+g(x)x^(2)+Ax+C then (a)f(x)=(1)/(2)x^(2)(b)g(x)=log x(c)A=1(d) none of these

"int(1+log x)dx

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

f(x)=int x log x(log x+1)dx