Math 2B. Calculus. Lecture 05. Indefinite Integral & The Net Change Theorem.

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 05. Single-Variable Calculus -- Indefinite Integral & The Net Change Theorem --
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA

Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on October 7, 2013

[hp]

2021 still a great lecture series. Thanks.

[iunnnfo]

Net change theorem The new value of a changing quantity equals the initial value plus the integral of the rate of change f(b)-f(a)=integral F', by heart, particle displacement

[Algebrainiac]

Her top is so pretty. I mean… I know she’s going by the textbook definition… but at least she’s trying cuz calculus is very hard

[graemej]

Natalia was born and educated in Russia, and look how easily she handles the English language, both spoken and written. Her CV and list of published papers is extremely impressive.

[danielearhart]

At about 25 minutes, the cube root of t is t to the one-third, so that when 1 is added you get four thirds, not three halves, and also the divisor. I verified this with my trusty calculator. That classroom full of college students didn't catch that.

[FritsvanDoorn]

If there is a silent variable of integration, is there also a not silent variable of integration and what is it?

[ganymeade]

She is incredibly fast. Her memory is phenomenal.

[yalenasorokina]

I like it when she says" I did this because I know.

[santoshpal]

Your teaching style is very nice maim, ,, i am Indian, ,,and reading perday your lectures 🥰🥰😍😍😍😍😍😎🔥🔥🔥🔥

[broccoli]

6:22 I don't know, but I think it's -cosx^2 + C?

[abdelhamidmehdi]

There's a small mistake at 30:39. the value of T is 39 ^ (1/3). You are the best Natalia. I love you.

[danishiqbal]

Nice lectures. Very interesting and informative.

[mehmetemin]

I wonder has she ever been in Alanya or Kemer?

[racquelsabesaje]

smallest micro organism use microscope

[Namath]

Are there really people who understand this?

[ethantrang]

Im a fifth grader and im studying this (Im asian)

[Sharpshooter]

She got so nervous at being filmed on the world wide web that she already made a mistake in only 10 seconds. SMH.