All Calculus 3 Resources
Example Question #1 : Surface Area
Find the surface area of the part of the plane in the first octant.
Lets recall the equation of surface area.
Now we need to find all the neccessary equations to be able to evaluate the integral.
We will plug in , into the plane equation in order to get a line that intersects with the z axis.
Now we are going to set , in the previous equation and solve for .
We now have all the bounds for our double integral