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The Area of an Ellipse (and Circle)

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First published at 22:59 UTC on October 27th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over further into trigonometric substitution and this time do example 2 of the example series which so happens to be determining the area of an ellipse using integration. In the video I prove that the area of an ellipses is π·a·b where a and b are axes on the ellipses. Also since a circle is a type of an ellipse, with a = b = r then the area of a circle is also found to and is equal to the famous equation π·r^2.

Download the notes in my video: http://1drv.ms/1ENaae2

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/the-area-of-an-ellipse-and-circle

Related Videos:

Inverted Ellipses: http://youtu.be/NQQFj66-bxA
Ellipses: Definition and Proof of Equation: http://youtu.be/tvfNgT4CrF
Trigonometric Substitution for Integrals: Example 1: http://youtu.be/lpp6YLWB2GM
Trigonometric Substitution for Integrals: http://youtu.be/2pWvGXwtVJo
Simple Proof of the Pythagorean Theorem: http://youtu.be/yt-EJlbJQp8
Trigonometry Identities: Proof that sin^2(x) + cos^2(x) = 1: http://youtu.be/o-fAx_96lgw
Half Angle Trigonometry Identities: http://youtu.be/0bY6tHZhBSI
Derivative of Trigonometry Functions: Derivative of tan(x): http://youtu.be/Jf6p4crjrSc .

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