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- Multivariable Calculus
- Multiple Integral Applications

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Get Started Now- Intro Lesson: a1:16
- Intro Lesson: b5:17

Suppose we want to find the surface area given by the function $f(x,y)$ from the region $D$. Then the surface area can be calculated using the following:

$S = \int \int_D \sqrt{[f_x]^2 + [f_y]^2 + 1} dA$

- Introduction
**Surface Area with Double Integrals Overview:**a)- Surface Area with a function with Region $D$
- Partial Derivatives

b)- Find the Region $D$
- Find the partial derivatives $f_x$ & $f_y$
- Calculate the Double Integral

6.

Multiple Integral Applications

6.1

Change in variables

6.2

Moment and center of mass

6.3

Surface area with double integrals