Finding Area Bounded By Two Polar Curves

This calculus 2 video tutorial explains how to find the area bounded by two polar curves. it explains how to find the area that lies inside the first curve and outside the second curve.

Area of Polar Curves:

Area Between Polar Curves:

Arc Length of Polar Curves:

Surface Area of Polar Curves:

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Writing Equations of Ellipses:

Eccentricity of an Ellipse:

Area of an Ellipse:

Circumference of an Ellipse:

Hyperbolas - Conic Sections:

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Parabolas - Conic Sections:

Polar Equations of Conic Sections:

Calculus 3 - Intro to Vectors:

Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[smoke]

It's insane how closely your video matches the material my class is going over. I literally got a test problem that was the same as your example problem in the video. thanks

[ogochukwuaa]

I used to use khan academy but wow, this is more in-depth with more examples. Thank you so much. Honestly this is where I should be paying my tuition. Thanks Again.

[georgesadler]

Professor Organic Chemistry Tutor, thank you for an incredible video/lecture on Finding the Area Bounded by Two Polar Curves in Calculus Two. Graphing the two Polar Curves is an important first step when finding the Area between two Polar Curves in Calculus. When I took Calculus many years ago, I have problems with this material. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[arfanm]

You’re the best teacher in the world! God bless you! ❤️

[sd]

Your videos are my favorite to use for help with subjects math and physics always find answers here and you break them down nicely thank you and keep up the great work!

[zongyu]

This video is so clear, it covers every possible situation for calculating polar area! Keep up!

[dildobaggins]

It seems its a bit of a nightmare to actually get the exact answer...?

[celsiusfahrenheit]

Thank you so much, 13:11 where you decide on the a and b boundaries I was confused on why, so I did a little experimenting and realized that a=5pi/3 would never get to a b=pi/3 in the positive counterclockwise direction because it is increasing. You would have to adjust it to b=2pi+pi/3=7pi/3 and then you do get the right answer of pi or you can do what you did, but I would be careful with this hack in the case where the shape of the area is not symmetric and doubling would not work.

[MrZombiah]

Thanks. Was worried about this but feeling good about it now

[perditus_paradisus]

You are the savoir of modern engineering students.

[hectorpalma-juarez]

Thanks a lot. I have been learning from you since trig.

[tuqaalobaidi]

Thank you alot..l want you make videoes about vectors & matrix pleaae

[moyoffgst]

i swear bro you saved my life lil nigga i could not understand this stuff for so long but you came in clutch. May God bless you

[xxsometeawouldbenicexx]

This is actually really relaxing to listen to while also teaching math

[siddhantbhat]

Extremely helpful. The step by step is great.

[najwa]

Honestly i can't see why we need to use pi in the integration to 4pi/3 at 22:13. Anyone can enlighten me?

[gunhakim]

Keep up the good work bro, your videos really help me man

[-a]

This made this so clear to me thank you :)

[strangerdanger]

Why can't you take the limit from 0 to 2pi and then minus the integral with limits 2pi/3 to 4pi/3?

[tzarsman]

yo why did this show up on my recommendations how did youtube know I needed this???