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!

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104244&authkey=!AF3xM2tK3lNLxHk&ithint=file%2cpdf

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-surface-area-example-3-solution-1

Related Videos:

Applications of Integrals: Surface Area: Example 2: Solution 2: https://youtu.be/nlL8ePAYT50 Applications of Integrals: Surface Area: Example 2: Solution 1: https://youtu.be/5nUzb02pDcI Applications of Integrals: Surface Area: Example 1: https://youtu.be/E9rwIVUifuA Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU Exact Trigonometry Ratios Part 1: 0, 30, 45, 60, and 90 Degrees: http://youtu.be/ln03a5KvQAY Trigonometric Integrals: Example 8: sec(x)^3: http://youtu.be/6381DXW85kA Trigonometry Identity: tan^2(x) + 1 = sec^2(x): https://youtu.be/5i3NZ_xip7I Trigonometric Substitution for Integrals: One to One Function: http://youtu.be/QO26MkCC3eU .

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