log(x+sqrt(x^(2)+1))

Show that log(x+sqrt(1+x^(2))) 1

The value of int_(-1)^(1) (log(x+sqrt(1+x^(2))))/(x+log(x+sqrt(1+x^(2))))f(x) dx-int_(-1)^(1) (log(x +sqrt(1+x^(2))))/(x+log(x+sqrt(1+x^(2))))f(-x)dx ,

Show that 1+x ln(x+sqrt(x^(2)+1))>=sqrt(1+x^(2)) for all x>=0

Domain of f(x)=log(1-x)+sqrt(x^(2)-1)

int x((ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx

the value of int x*(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx

int x(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx equals

int x((ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2))))dx=a sqrt(1+x^(2))ln(x+sqrt(1+x^(2)))+bx

Let f(x)=1+x ln(x+sqrt((x^(2))+1))-sqrt((1)+x^(2))andh(x)=f(x)-f^(2)(x)+f^(3)(x) Then.