7. Write and simplify the integral that gives the are length of the curve y = e for -1 ≤ ≤ 2. Then use a midpoint Riemann sum with n= 40 to approximate the length of the curve. Round your answer to four decimal places. The arclength formula is L= = √ √₁ + f'(x)²³dx.
8. Write the integral that gives the area of the surface generated when the curve y = Inx on the interval 2 ≤ ≤ 11 is revolved about the x-axis. Then use a left. Riemann sum with n = 70 to approximate the surface area. Round your answer to four decimal places. The surface area formula is S= = 2nf (2)√₁ + f'(x)²³dx.
