" 9."(log sec^(-1)x)/(x sqrt(x^(2)-1))

int(sqrt(x-1))/(x sqrt(x+1))dxquad is equal to ln|x-sqrt(x^(2)-1)|-tan^(-1)x+cln|x+sqrt(x^(2)-1)|-tan^(-1)x+cln|x-sqrt(x^(2)-1)|-sec^(-1)x+cln|x+sqrt(x^(2)-1)|-sec^(-1)x+c

STATEMENT-1: lim_(x rarr oo)(log[x])/(sqrt(([x])/(sec^(2)-1)))=0 STATEMENT-2: lim_(x rarr0)(sqrt(sec^(2)-1))/(x) does not exist.STATEMENT-3: lim_(x rarr2)(x-1)^((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

[" (v) Differentiate "log[(sqrt(1+x^(2))+x)/(sqrt(1+x^(2))-x)]" w.r.t."],[cos(log x)]

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

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

If y = log ((sqrt(1 + x^(2)) + x)/(sqrt(1 + x^(2)) -x)) " then " (dy)/(dx) = ?

intsqrt((e^x+1)/(e^x-1))dx (A) ln (e^(x)+sqrt(e^(2x)-1))-sec^(-1)(e^(x)) +C (B) ln(e^(x)+sqrt(e^(2x)-1))+sec^(-1)(e^(x))+C (C) ln (e^(x)-sqrt(e^(2x)-1))-sec^(-1)(e^(x)) +C (D) ln(e^(x)+sqrt(e^(2x)-1))-sin^(-1)(e^(-x))+C