Calculus 15.1 Double Integrals over Rectangles

[@naveentechtamil9746]

Sir i need exercise problems for this chapter plss

[@zyad101010]

dA how you get it

[@lightspeed7027]

Hello! dA is just the area of the region you will be finding the integral of. meaning dA= dxdy or dydx; usually it will be given by R={(x,y)| a ≤ x ≤ b , c ≤ y ≤ d} or R= [a.b] X [c,d]. if it says dA, it will be up to you if you want to solve it dxdy or dydx; fubini's theorem says that the order of integration does not matter and will express the same thing(similar to clairaut's theorem for partials)! Hope this helps!

[@juniorcyans2988]

How did you know it was a cylinder? 13:15

[@asherroberts]

In section 12.1 we saw that x^2+y^2=1 represents a cylinder in R^3, so z^2=1-x^2 also represents a cylinder, but it is rotated.

[@juniorcyans2988]

@@asherroberts Oh so it is z^2 + x^2 = 1 but along with the y-axis? Thank you very much for replying! And thank you very much for making these videos! I got 15/15 on my last quiz because of your videos of calculus 3. I wish you could have made the similar videos for differential equations class too! I’m in that class as well and really need help!