Area Enclosed by a Polar Curve, Calculus 2

We will find the area of the first loop of r = theta*sin(theta) and will do all the integration steps by hand (using trig identities and integration by parts)

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[benjaminbrady]

Hey bprp. I've noticed that you seem more on edge towards negative comments lately. I hope that you're alright... more negative comments is a natural result of growth and most people aren't actually expressing hate but are often memeing or making an obscure reference. Remember, anyone who comments on more than one video is here because they love your videos, not because they hate them

[SiilverEdit]

the way you smile while explaining makes me happy and shows how much you enjoy keep up

[frozenmoon]

Art is not in painting, but in math, bprp! We do know your drawing was great.

[Snwar]

i like that you always simplyfy after writing it down. there is never a step lost

[marcushendriksen]

"It's not because I cannot draw, but because it's not a circle."


Since when were those two things mutually exclusive, huh? ;)

[pronounjow]

You draw an amazing not-circle! It looks spot-on!

[roderickwhitehead]

I don't believe I have ever seen integration by parts done that way... mind blown.

[uncagedstudios]

I got an A in Calc II this semester because of your integration videos. Thanks for your help.

[kostantinos]

I'd just like to say thank you for your help though these videos, particularly on integration. I've been studying the topic on my own ahead of my lessons, and these videos are an awesome way to put the theory into practice and better comprehend what it's all about.

[joso]

"uploaded 36 seconds ago"
"First comment 7 hours ago"
Excuse me wot?

[andres.robles]

Haz un álbum de puros problemas de cálculo vectorial.

[michiplays]

wow, perfect timing. Learning about polar area right now so thank you!

[김주한-nh]

Hello l'm Korea student your math is great useful

[joeeeee]

Wow this is actually really interesting :) Fantastic video!

[CuriousNeon]

DI table caught me off-guard lol! Maybe I need to study or watch some videos to understand it more...

[LifeIsBeautiful-kiky]

Explain about sketching a polar and parametric curves.

[slavii]

Can you do something about Diophantine equations?

[sergioh]

Very good review for calc 2...thnx bprp 😀

[mathmathician]

If the inner loop goes from 0 to π, then the outer loop goes from π to 2π.

[chaoticoli]

Great video. I am now interested in the sequence of areas of each loop.