Double Integrals: Changing the Order of Integration - Example 1

This videos provides an example of how to change the order of integration on a given double integral.

[lisro]

Its people like that help me stick through engineering school. I cant thank you enough. Your vid are to the point and actually make sense.

[WOTNeedForSpeed]

I gotta say, you have the most under rated videos, ever. I used to watch PatrickJMT, but honestly you have him beat! Well, especially for Calc III, I struggle to find everything I need..but now with you, everything is crystal clear. I couldn't thank you enough. -Josh.

[JASjzvoZF]

Bless your soul! Only video I've found it's helpful after so many videos

[radunicolescu]

Nice. One thing, though: the dx on the last line of the first slide should be actually dy. Thank you!

[rohandevaki]

but the area we get will be the other side of the shaded region, then we need to get the same are so the req area will be 1- of (after changing the order of integration )
so y didnt u do that. we need to the same shaded region right?

[Isaacr]

You only need to change the limit of integration if you keep it in terms of u when evaluating. He plugged 1+y^3 back in when evaluating so there was no need to change the limits. However, if you keep it in terms of u, and change the limits of integration, you should get the same answer. But that requires more work.

[helenrafat]

If I passed the mathematics test that's because of Allah and then because of u. Thank you so much Allah bless you sir

[tomasdinis]

Thank you a lot, man. Greetings from Portugal :)

[PeaceIsKing]

Good job explaining, was very helpful.

[AnangKatyayanrandomvideos]

this was very helpful to me.. thanks a lot sir..

[Jeanjuan]

How do you know you shouldn't find the area of the bottom triangle?

[ayoubzaaach]

why if its hard to draw the region :v what should i do

[abhishekkumar-eyzc]

sir one thing . hw u will change the oreders i cant get

[PraveenKumariam_praveen]

Awesome video... thanx dude u helped me a lot!!!!

[keeganbate]

If you look at the graph, you can see that it is the same area anyway.

[sumbaj]

dont we need to change the limit of integration? as we supposed u=1+y^3, so that means when y=0, x=1 and when y=1, x=2

[GeorgeTSio]

A physicists saw the video and didn't like it... :P