Area of Parametric Curves

This calculus 2 video explains how to find the area under a curve of a parametric function. This video explains how to find the area of the shaded region by eliminating the parameter t.

Derivatives of Parametric Functions:

Tangent Lines of Parametric Curves:

2nd Derivative - Parametric Equations:

3rd Derivative of Parametric Curves:

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Horizontal & Vertical Tangent Lines:

Area of Parametric Curves:

Arc Length of Parametric Curves:

Surface Area of Parametric Curves:

Polar Coordinates - Introduction:

Tangent Line Equations - Polar Form:

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Horizontal & Vertical Tangents - Polar:

Area of Polar Curves:

Area Between Polar Curves:

Arc Length of Polar Curves:

Surface Area of Polar Curves:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[TravLong]

Its really crazy how you started uploading calc 2 videos the same semester im taking it. I've been struggling pretty bad in this course to the point where I want to drop out of school completely. But thanks to your videos I'm starting to realize it isn't that hard. I'm not going to give up on this course. You give me motivation thank you my brother

[areia]

Thank you so much for saving my college life, both in Ochem and Calc, you are a blessing!

[dongiovannidemontecristo]

you the James Bond of Mathematics you make math easy thanks what took my professor 2 hours to explain it took you 11 minutes thanks for your help buddy

[armenmichaeli]

Very well explained, not the least because of taking an example and stepping through it. Thank you! It was definitely an uplifting end to a long day of reading on integration and related calculus...

[georgesadler]

Professor Organic Chemistry Tutor, thank you for a well explained video/lecture on Finding the Area of Parametric Curves using Definite Integrals in Calculus Two. The two methods are an excellent way to calculate the Area of a Curve/Parametric Curve in Calculus. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[TheDropdeadZed]

Thank you for showing the formula in that way. The other ways I've seen it shown I didn't understand and they never explained why it was that way, just that it was the formula you should learn, which might have been ok except in my exams that is not one of the supplied formulas! But yeah thanks.

[sethtang]

low don't even know why wont college professors just outsource their classes to this dude; lowkey teaches better than most teachers I've had

[omardiab]

what still watching youtube for math videos? are they helping??? oh yah they are

[nakulsindhwani]

I was wondering when are you going to change the name of your channel

[chaoz]

so nice to watch your videos. I wonder can I know the app you used to make this tutorial??? Thanks a lot.

[nadinehader]

Thank you for translating this video into Arabic. Please translate the rest of the videos🥺🤍

[AViolYn]

what about when we are not given alpha and beta

[codyshi]

Then how do we find the area if the bond limit is not given?

[AdolfKambinda-fp]

Could you please do a video on volume of solid revolution of parametric equations😊

[shayorshayorshayor]

does this guy ever reply to any of our comments?

[quintonwilson]

First two minutes of the video are precisely what I was looking for. Not a single fucking resource went into the simple reasoning behind this... "just substitution and chain sub what, chain rule where?!?!?!?!??!?!?!?!?!?!?

[sharmisthatripathy]

In 6.45 mom, the limits should be 0 to 4 isn’t it ?

[gabe]

I wish you didn't waste so much time evaluating each integral