" 41."log sqrt((1+x^(2))/(1-x^(2)))

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

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

The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

If int(log(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx =(gof)(x)+c then

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

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

int(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx=a sqrt(1+x^(2))ln(x+sqrt(1+x^(2)))+bx+c, then (A)a=1,b=-1(B)a=1,b=1(C)a=-1,b=1 (D) a=-1,b=-1

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