MAT $1740$

Assignment $5(10$ pts $)$

due Feb. $16,2025$

Complete this assignment showing all work, save as a single $.$pdf$,$ and upload back to its D$2$L Assignment folder.

$(5$ pts$)1.$ Find the surface area formed by revolving $y=e^{2x}$ on $0x3$ about the $x-$axis. Set up an integral and use your calculator to evaluate it$.$

$(5$ pts$)2.$ Determine whether the integral converges or diverges. If it converges, evaluate it$.{\displaystyle \underset{1}{\overset{}{}}}\frac{7x+2}{x^2-4x}dx$