Question

Find the exact area of the surface obtained by rotating the curve about the x-axis?

Answer 1

To find the exact area of the surface obtained by rotating the curve about the x-axis, we can use the method of calculus known as integration.

Step-by-step explanation:

To find the exact area of the surface obtained by rotating the curve about the x-axis, we can use the method of calculus known as integration.

1. First, we need to express the equation of the curve in terms of y instead of x. Let's say the equation of the curve is y = f(x).
2. We then need to set up the integral to find the area. The integral is given by A = ∫[a, b] [2πx * f(x)] dx, where [a, b] represents the interval on which the curve lies.
3. Once we have set up the integral, we can integrate it to find the exact area of the surface obtained.