You Can Totally Calculate These Areas | Integral Calculus | Ellipses

Описание: 0:00 Introduction to the Problem.
1:12 Problem (a).
9:58 Alternate Form for the Answer to Problem (a).
12:08 Problem (b).

In this video I am going to calculate the intersection area of two ellipses, or an ellipse and a circle, which can be done by basic integration techniques from high school calculus or college freshmen level calculus. The complication mainly arises from the increased amount of calculation and simplification process, so as long as you don't get overwhelmed by them, you can understand this video's material quite easily.

[Follow-up video] What about the ellipse not centered at (0, 0)?
   • …...Even This “Tilted” One Not Centered at...  

[Tools mentioned in this video]
Desmos Graphing Calculator: https://www.desmos.com/calculator
Wolfram|Alpha: https://www.wolframalpha.com

#integration #areas #ellipses #integral #ConicSections #IntegrationBySubstitution #TrigonometricSubstitution

---------------------------------------------------------------------------------

CORNERSTONES OF MATH features quality math problems to strengthen your math fundamentals and problem-solving ability. Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc. I hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself.

Please consider giving a Like to this video and Subscribing to my channel, it really means a lot for the creator like me, and you will be introduced to many more interesting math videos!