Consider the following space curve: $ \gamma(x)=(e^x\cos(x), e^x\sin(x), e^x). $ My main goal is to find the Frenet Frame T,N,B.
So far I have found the arc-length using the following formula: $ s(x)=\int_{x_0}^x |\gamma'(x)| dx. $ i.e. $ s(x)=\int_{x_0}^x \sqrt{3} \sqrt{e^{2x}} dx $
I am now unsure of where to go from here, any help would be greatly appreciated.