x+x log x

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

Evaluate the following limits : Lim_(x to 1) (x^(2) - x log x + log x - 1)/(x-1)

Let f(x) = log _({x}) [x] g (x) =log _({x})-{x} h (x) log _({x}) {x} where [], {} denotes the greatest integer function and fractional part function respectively. Domine of h (x) is :

Let f(x) = log _({x}) [x] g (x) =log _({x}){x} h (x)= log _({x}) {x} where [], {} denotes the greatest integer function and fractional part function respectively. Domine of h (x) is :

Let f(x) = log _({x}) [x] g (x) =log _({x})-{x} h (x) = log _([x ]) {x} where [], {} denotes the greatest integer function and fractional part function respectively. Domine of h (x) is :

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

Find the derivatives of the following : y = x^(log x) + (log x )^(x)