Question

The line rotates about the x-axis. Which integral measures its lateral surface area?

$$y=9+1x,\quad 0\le x\le 3$$

Accepted Answer

$$2\pi \int_{0}^{3} (9+1x)\sqrt{1+(1)^{2}}\,dx$$

Answer

$$2\pi \int_{0}^{3} (9+1x)\sqrt{1+(2)^{2}}\,dx$$

Answer

$$2\pi \int_{0}^{3} (9+1x)\,dx$$

Answer

$$\pi \int_{0}^{3} (9+1x)^{2}\,dx$$

Practice: Integration - Surface Area from Rotation Context