Calculus: Integrals 8

[NeoZC]

wouldn't you need to restrict the function more? y=0 and x=0 because then you could be getting the area from -2 to 3 (or whatever interval you're told) (or infinity)

[ChasingMalavika]

I love you!! Thank you!

[sahana221]

awesome job! its better than what my teacher actually taught to me! its better to understand things by ur teachings... thanks a lot sir!:)

[kaileyhuot]

Your an excellent instructor & MathTV is truly a god send!

[ProKillerDSF]

His trying to show you if you use the midpoint into the function and add it all up is the same as intergals from those points. You can also use circumscribe or inscribe, but midpoint is the closest to the actual answer when using intergal to find the area. The verticle or horizontal rectangle is a matter of dx or dy setup. Just be careful if you are using washer or bearing method, the rectangle must be perpendicular; cylindical shell must be parallel when finding the volume.

[latindiana21]

you are my savior! :DDD

[raketapjotr]

i was trying to find an formula for calculating the area of an parabola and i ended up with the same formula that he shows at 05:20.Though i didn't know how to get integral from the limit...

so how to prove that the limit he shows(05:20) equals with the definite integral!?

[jrendoso]

i cant' hear anything, is it the vid ? or my computer? well i can hear well the other stuff... i just wonder.

[webbartek]

I'm from poland and he is so good that I understand him better than my polish math teacher

Thank's

[soulessnessD]

you are very clear, i think you are better than my teacher.

[lamtartarus]

you think? lol

[01throwitup]

I LOVE YOUUUUUUUUUU

[RichieRich94]

This guy is awesome. I understand this so much better now. Bravo!!

[mecanimatico]

Excelente trabajo, permitame felicitarlo por la gran labor social que usted adelanta, gracias maestro.

[qbslug]

is there such a thing as implicit integration?

[iridekidsbikes]

you could call double integrals ''implicit integration''. one of the goals of double integrals is to integrate with respect to 2 variables. When integrating an implicit function, you can integrate then function with respect to y first (that implies that all of the members of the equation that contain x will be constant) then integrate with respect to x (this time all members containing y will be constant).

[hikoseijuro24]

what is this guys name? Im not supposed to be in calculus yet and ive never taken calculus in h.s but i already know a lot because i watch his videos. hes great because he does not just do the equations but also hes great at explaining the geometric interpretations. can anyone tell me what his name is?

[SalvationEternity777]

Mr Mckeague if i'm not mistaken

[wtblessing]

Excellent refresher for my calculus. Thanks!

[Kakashinoor]

Ths is unbelievably amazing how I now have two math teachers thanks to youtube. Learning things twice in two different perspectives is AMAZING. The way you did it in terms of X and then in terms of Y really makes things clear... I am going to get A+'s in Math...

[mackeenca37]

Reaimann for life, leibniz is my boiii

[ToyMachine22122]

Man, I was so close to understanding!

This videos are great but this one seems to have left something out...

Where are a and b represented in the Reimann sum notation? In other words, if I wanted to evaluate the area under the curve using his Reimann sum notation, where in that expression do I account for the boundaries I've defined?

Please, someone explain so I can understand!

[EvilGeniusXZ]

delta x = (b-a)/n

[watxdoxuxdoxallxday]

I think he just talks faster in this vid

[zep4life]

It's a bit confusing at first. ∆x = (b - a)/n . In other words the change in X is explained by the actual change in the area. The intervals a, b will be partitioned into n subintervals

[Chrls5]

those are some very elemental integrals, but,, god!!! , they help a lot to understand the really integrals! jaja!!,, Great teacher!!by the way,, nice work!!!

[d1epph1]

hate that i found this guy the night before finals...

[aznmasterx]

same here haha

[armadylgsword]

4 weeks ago? there were no finals then

[sjsawyer]

Hell yeah there were.

[armadylgsword]

in what country?

[sjsawyer]

Well I live in Canada but it may not necessarily be the same throughout the country...

[0147zxc]

integrales extremadamente basicas

[yellowmango30]

u rule man !!!

such human beings are needed to this world !!

u r god...

[Abercr0mbie4life]

how can 2dx = 2x?

[sjsawyer]

integration.

What do you get when you differentiate 2x? 2. So, when you integrate 2 with respect to x, you get 2x.

[RhavoX]

man you're the greatest ^^ thank you for your wonderfull movies :)

[Umarluch]

Hmm.. By naming 2x + 3y = 6 a "curve" I'd be expelled from my studies even faster than saying this word.. I't can be just language but where I leave it's called "straight" (don't know if this term is present in english mathematical language).

[259]

Once you learn calculus, you'll be able to understand that the shortest distance between two points is a curve.

[Umarluch]

Well to be most specific the shortest distance between two points is a line, not a curve so save your words. By saying 'straight' i meant line. Save that irony 'once you learn calculus..'.

[259]

OK, maybe I was a little iffy on the clarity. What I meant was that the shortest distance between two points is a geodesic, which is pretty much a curve line.

[Umarluch]

And the thing i ment was the language. It differs a little bit from Polish. And in this video guy is talking about 2 dimensions, so the shortest way between 2 points in 2D plane is damn straight line. EOT!

[krillansavillan]

its the same for a curve, because the little rectangles still move from x=a to x= b and u add them up

[yasamih]

thank you so much, that was very helpful.

[MBacon101]

Don't ever stop making videos!!! Thank you!

[Tubetascular]

Thanks for posting this, it really really helps me out a lot. I've watched all your integration videos and they explained to me very clearly about the process of integration. Thanks alot!

[arod889]

the problem was a piece of cake. but he still explains it well

[calculus100]

Excelente para introducirse en el cálculo de áreas.

Buen trabajo.

[Waranle]

Sir i always enjoy your 5, 10minutes video, it really helped me. Sir can you please post some Single Variable Calculus video, please..

Thank you Sir.