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

int(dx)/(e^(x)sqrt(2e^(x)-1))=2sec^(-1)sqrt(2e^(x))+c-2tan^(-1)(1)/(sqrt(2e-1))+c2sec^(-1)(sqrt(2)e^(x))+c(d)2tan^(-1)sqrt(2e^(x)-1)+c

Prove that e^(x)+sqrt(1+e^(2x))>=(1+x)+sqrt(2+2x+x^(2))AA x in R

If y=sqrt((1+e^x)/(1-e^x)),s howt h a t(dy)/(dx)=(e^x)/((1-e^x)sqrt(1-e^(2x)))

If y=sqrt((1+e^(x))/(1-e^(x))) , show that (dy)/(dx)=e^(x)/((1-e^(x))sqrt(1-e^(2x))) .

Prove that e^(x) ge 1 +x and hence e^(x) +sqrt(1+e^(2x))ge(1+x)+sqrt(2+2x+x^(2)) forall x in R

Prove that e^(x) ge 1 +x and hence e^(x) +sqrt(1+e^(2x))ge(1+x)+sqrt(2+2x+x^(2)) forall x in R

Prove that e^(x) ge 1 +x and hence e^(x) +sqrt(1+e^(2x))ge(1+x)+sqrt(2+2x+x^(2)) forall x in R

Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R

Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R

Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R