Calculus 3: Double Integrals Over Rectangles (Video #19) | Math with Professor V

Introduction to multiple integrals beginning with double integrals over rectangular regions. Using Riemann sums to approximate a double integral; "partial" integration. Fubini's Theorem; interchanging the order of integration. Average value of a function of several variables. Example graphing a solid represented by a double integral. #doubleintegrals #multipleintegrals #calculus3 #calculus #fubinistheorem #integration #mathtvwithprofessorv #youtubemath #mathprofessor #mathvideos #mathhelp #mathteacher #mathtutor

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[erwinsmith]

Just discovered this channel from organic chemistry tutor 4 days before my calc 3 final. Thank god for this channel. Thank you professor V

[valeriereid]

I really appreciate these videos. I learn so much from this professor. I wish you were also teaching probability; measure theory, random variables, continuous variables etc

[Randomguy-mcct]

You are amazing ma'am 🙂
Wishing you success

[sl]

Thank This was so clear and understandable
<3

[setsototitipana]

Very beautiful, really appreaciate the videos. Professor since the double (iterated integral) is a "partial integral" doesn't it stand to reason that the we should have use the notation for partial not exact derivatives?

[dixcetr]

you teach better than my proffesor. Comparing is not a nice approach, but it's true 😅

[kayleighkoekemoer]

at about 36:10 when we have used U sub, howcome we do not change the bounds of the integral to represent U when we sub in the upper and lower bounds?