From the course: Complete Guide to Calculus Foundations for Data Science
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Surface area
From the course: Complete Guide to Calculus Foundations for Data Science
Surface area
- [Instructor] So far, you learned how to determine the volume of a shape and the arc length of a curve, but what happens when you combine these two concepts together? You can then calculate the surface area of a shape. In this video, you'll learn how to calculate the surface area of a shape by using the revolution technique. This will combine the revolution technique with the arc length formula you learned about in the previous video. This will get you the total surface area of the shape you calculate. Note, this is not supposed to be confused with the washer method since the thickness when the finding surface area is supposed to be infinitesimally small. Let's take a look at those surface area formulas. Like for arc length, there are two versions depending on if it is a function of x or y. So if you have a function f(x) over a closed bounded interval, a to b, you then get a formula of the integral of a to b of two multiplied by pi multiplied by f(x) multiplied by the square root of…
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