Calc 3 15.1 Notes: Double Integrals Over Rectangles

Objectives:
1. Define the double integral of a function of two variables.
2. Find the volume of certain solids using an iterated integral in rectangular coordinates.
Please use this link to see an interactive visual of the figure in example #5: www.math3d.org...
Ch 15 playlist: • Calculus 3 Chapter 15:...
PDF copy of the notesheets: drive.google.c...

[@i9r]

I love you

[@thechirpination7455]

at 16:40 how did the y*1/3(3)^2-y*1/3(0)^2= 9y? I got 3y. Does 1/3(3)^2=3? the 0 makes the right hand 0 making it 3y-0?

[@어흥냥]

17:26, wouldn't it be the volume not area?

[@alexandraniedden5337]

Yes, you are correct. Sorry about that!

[@libusengmakoa7857]

Helo mam how do you see that the radius is 4 at 11:31

[@alexandraniedden5337]

The radius is actually 1 and the height of the cylinder is 4. As you look at the figure, the "circular" part of the cylinder goes from x = -1 to x = 1, thus giving a diameter of 2 (radius of 1). The cylinder extends along the y-axis from y = -2 to y = 2, hence a height of 4. Hope this helps!

[@KaleabZegale-hr3km]

your voice sound is so lovely Miss