Finding Area Using Double Integrals (Rectangular & General Regions)

Calculus 3 video that explains using double integrals over rectangular regions and double integrals over general regions to find area. We show you how to use a double integral to find the area of a region in the plane, walking you through examples over both rectangular regions and general regions. The examples will show you how to set up the bounds for your integrals, and how to choose which order of integration is better, based on the shape of the region. We explain several examples of multiple integrals that you might find at the beginning of these topics in a Calculus 3 course.
0:00 Introduction to the method
3:22 Example 1 (Rectangular region)
8:06 Example 2 (General region)
14:27 Example 3 (General region)
19:39 Example 4 (Choosing order of integration)
23:22 Example 5 (Choosing order of integration)
26:33 Example 6 (Choosing order of integration)
Houston Math Prep Calculus 3 Playlist: • Calculus 3
Houston Math Prep UA-cam: / houstonmathprep

[@turbothrottletrouble4217]

I have now officially replaced the time I set to procrastinate and watch netflix to watching and learning from your videos!! (Sorry for commenting too much on your channel but your videos are just too good and I can thank you enough for the quality content you are putting out)!

[@AhmedAli-oe8si]

man you are amazing .words can not express how much i am grateful to all of you

[@HoustonMathPrep]

Thanks, Ahmed! We are just glad that some of our content helped you!

[@onion-brawlstars9792]

besides acquiring academic knowledge, this video is really entertaining while watching

[@HoustonMathPrep]

Glad you enjoyed it!

[@qifanyang404]

Thank you so much for your effort! I now understand clearly with your help!!

[@HoustonMathPrep]

You're welcome 😊

[@syafinazaziz7485]

thank u so much for uploading this sir, all respect for u
im doing degree in mathematics

[@HoustonMathPrep]

You are so welcome! Good luck on you journey toward your degree! So exciting!!

[@electricalautomationengine9128]

you are just incredible

[@burakerturk3676]

thanks!

[@HoustonMathPrep]

No problem!

[@turbothrottletrouble4217]

If there's any way to donate or join your channel, I'll do it!

[@HoustonMathPrep]

At this time, we are not using ads or monetizing in anyway. We may in the future. Subscribing and mentioning us to others are really the best ways to support us currently. Thank you for the kindness though!