How to evaluate double integrals (& how to change the order of integration) 10 examples, calculus 3

[@bprpcalculusbasics]

These are from my 100 integrals part 2: These double integrals are from my 100 integrals part 2 video 👉 kzbin.info/www/bejne/oILdYpqHZ5mCfsUsi=e0TNMkCmiHveTda2

[@siyaadmaxamed6560]

Thank you 😮😮😮

[@Supercatzs]

he finally did it...

[@yowreesesame1803]

what a coincidence, while i was watching part 2 of your 100 integrals, suddenly this video notified me right away. hahaha ty for this! would help for my exam

[@mmh2695]

Can you make some videos explaining triple integral and calculus 3? I'm taking Engineering Mathematics 2 this semester and I started struggling 😅😅 Love your work tho, big fan I was following you for around 3 years at this point

[@digitalutmassignment]

thanks alot ....we need in triple intigral too😁😁

[@mwesigwadaudi5718]

Thanks Dr🎉

[@jeanrichonez2022]

Great job. Thank you. You looked a little bit tiree. Need some deserved rest ?

[@bprpcalculusbasics]

Thank you. These questions are from my “100 integrals part 2” video so I had already done 80 nonstop up to this point. 😆

[@Bouraskonstantinos]

hey i dont understand why in 6:15 sin(tan^-1(x))= x/√ (1+x^2) ? tan^-1(x) is arctanx or 1/tanx ?

[@angeljosephcastillon4041]

Arctan (x) Tan = x (Recall TOA) Make a right triangle in which, x is the opposite, and 1 is the adjacent. There you will get the sin(x) which is opposite over hypotenuse

[@epikherolol8189]

Let arctanx be equal to u So now tanu=x Draw triangle for tan u =x We need to find sin(u) from the same triangle

[@09Maggio]

on question Q89 i got 26/3, don't understand where the other 1/3 comes from

[@Asiago9]

When doing the integral of sqrt(u)du, you get 2/3sqrt(u^3) due to the power rule, which you then multiple the outside 1/6 by to get to 1/9

[@gibson2623]

Volume? Aren t double integrals for surface area?

[@lightshadow2707]

generally you do this to find the volume under a plane given by f(x,y) in the bounds of the integral. Now if f(x,y)=1 your integral will give you the surface defined by the integral bounds. For example if you integrate over square bounds like {0

[@gibson2623]

@@lightshadow2707 Thank you for your time. Extremely well explained. Now it makes sense of course. Thank you ❤️

[@HashemAljifri515]

Jacobian 😆

[@buschiyer]

i dont really understand why he could change dx and dy. What did it depend on?

[@lilfelicia]

Because sometimes you can not integrate in the initial statement

[@buschiyer]

@@lilfelicia no i meant i didnt understand the explanation in how it works

[@37-nguyensythang81]

it depends on Fubini's theorem

[@09Maggio]

this was long ago so i hope you passed your exam but from what i know you can always change them if it's a smart decision, just draw your region and see under which functions x and y stand

[@victorjohnson-c6t]

you need to work more on yourself first

[@bprpcalculusbasics]

We all do. I aim to improve everyday. You?