Find the Area of the Ellipse using Integral Calculus

In this video, I will show you how to prove the area of an ellipse using calculus integration. Recall that an ellipse is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base. The area formula of an ellipse is A = pi*ab, where a and b are the length of the vertical and horizontal axes. This is an important topic for high school or university students who are taking calculus, as this question for the proof of the area of the ellipse may show up on the calculus tests. In the next video, I will show you how to prove the area of the circle. If you enjoy this video, please don't forget to share with your classmates and kindly subscribe to support my channel!

[ninaayu]

i like the way you explained it. thankyou for helping me to understand it.

[calculus]

This is quality proof! Thank you. Ellipses are very interesting. You should do the proof of binomial theorem or a proof on the power rule in calculus using the binomial theorem. You're the GOAT Quoc Dat Phung!❤

[NishaNoor-ctnx]

Could you do a video about arc length and sector of a circle? Feel like circles are under appreciated on this channel.

[sillynannyman]

Dude, first of all, great proof! Second of all, what are you using to write down these proofs?

[michaelfield]

How did you get rid of the square root sign at 4:50 ?

[mincart]

Wow. Area of ellipse= piab
Sounds like the great city of some middle eastern country