" 15."(x^(2)+1)log x

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

f(x) - log (x^(2) + 2) - log 3 in [-1, 1]

integrate the functions (sqrt(x^(2)+1)(log (x^2+1)-2 log x))/x^4

Evaluate : int (sqrt(x^(2) + 1) ( log (x^(2) + 1) - 2 log x))/( x^(4)) dx

lim_(x rarr1)(x^(3)-x^(2)log x+log x-1)/(x^(2)-1) =

The domain of f(x)=(log(sin^(-1)sqrt(x^(2)+x+1)))/(log(x^(2)-x+1)) is

The domain of f(x)=(log(sin^(-1)sqrt(x^(2)+x+1)))/(log(x^(2)-x+1)) is

int (log x)/(x^(2))dx is equal to a) (log x)/(x) + (1)/(x^(2)) +C b) -(log x)/(x) + (2)/(x) + C c) -(log x)/(x) - (1)/(2x) + C d) -(log x)/(x) - (1)/(x) + C

int_(1)^(e )(1)/(6x(log x)^(2)+7x log x + 2x)dx=