" 17."(i)times sqrt(x^(2)+1)+log(x+sqrt(x^(2)+1))

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

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

If y=(x^(2))/(2)+(x)/(2) sqrt(x^(2)+1)+log sqrt(x+sqrt(x^(2)+1)) , prove that, 2y=x (dy)/(dx)+log((dy)/(dx))

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

y=(x^(2))/(2)+(1)/(2)x sqrt(x^(2)+1)+ln sqrt(x+sqrt(x^(2)+1)) prove that 2y=xy'+ln y'

If =(x^(2))/(2)+(x sqrt(x^(2)+1))/(2)+log sqrt(x+sqrt(x^(2)+1)) prove that 2y=x(dy)/(dx)+log((dy)/(dx))

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

Differentiate log((x+sqrt(x^(2)-1))/(x-sqrt(x^(2)-1)))

int((x)/(sqrt(1+x^(2)))-1)log(x+sqrt(1+x^(2)))backslash dx