Let C be the curve $\displaystyle {y}=\frac{{{e}^{{{2}{x}}}+{e}^{{-{2}{x}}}}}{{4}}$, for $\displaystyle {0.1}\le{x}\le{1.5}$. A graph containing C follows.

Find the surface area of revolution about the x-axis of C.

First find and simplify $\displaystyle \sqrt{{{1}+{y}'^{{2}}}}$ = Preview Question 6 Part 1 of 2  
Now find surface area = Preview Question 6 Part 2 of 2