Applications of Integrals: Surface Area: Example 3: Solution 1

In this video I go over another example on determining the surface area of a shape formed by rotating a curve about an axis. In this case I determine the surface area of the shape formed by rotating the curve, y = e^x, from x = 0 to x = 1 about the x-axis. Like in my earlier videos, I explain how we can solve this surface area by either writing the surface area formula in terms of x or in terms of y. In this example, I solve it in terms of x (solution 1) and in the next video I will solve it in terms of y (solution 2). This is a pretty extensive example, but it helps to illustrate the many steps that are often required, so make sure to watch this video!

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I don't always determine the surface area of a shape formed by rotating a curve but when I do I usually need to rely on my previous videos to solve it ;)