# Surface area with double integrals

### Surface area with double integrals

#### Lessons

Notes:

Surface Area with Double Integrals

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