Calculus: Integrals 4

[pythor2]

Instead of adding the -3 and countering it with -1/3 like you did at the problem 3:40-4:50,

in my class all we did was move the -3 in (du=-3dx) to the other side, and you have(-1/3du=dx), and from there you can just move the -1/3 to the outside of the integral.

Same concept, but this video is much more understandable, albeit more added to it.

[hcb1515]

simple , direct and perfect. i think god is a teacher and MATH IS GOD...XD

[AggieChick06]

AWESOME!!

[turbojb]

Thank you. your a great teacher. Can u come teach at my school?

[ProKillerDSF]

lol creative substitution!!! This guy is good period.

[babychick398]

so I was wondering, that at 2:38, why do we multiply the derivative of the the exponent (2x) by the whole function (1/2 * e^(x^2)) instead of just by the exponents function (x^2 * 2x)?

[louisse789]

your a great help thank you so much!! :))

[Tarkus96]

Estudiando, Vid related!

[hameed00o]

thank you for the great work .

[dahungrypanda29]

Thanks

[dahungrypanda29]

I'm kind of confused, how can you say that u = x^2? Am I missing something?

[lamtartarus]

he incorporated the equation

u^ndu = u^n+1/n+1 + c

[tberch]

This is useful how?? Id really like an example of how this is used.

[Tri3dgE027]

Work your way unto college Engineering courses or Advance Math, then let's see if you won't appreciate the effort these guys put into their videos.

[qdietz]

I just wanted to say thank you so much for all of these great videos. You are very clear, the pace is great and I learn so much from these videos.

I learn so much more from these videos then from my professor as I can attempt the problems before i see the solution, pause and replay some parts.

Your work is very appreciated

[cornholeavenger69]

no exaggeration when i say that ive literally learned more from this guy than my prof this sememster, thank you so much!

[vitaminEATER]

I have searched high and low for something to supplement my calc lectures, and your videos are BY FAR the best resource.

[mdablemont]

Thank you for the video, I now understand it better!

[pitismall]

i wish i had this guy as my professor.

[Milchi7]

thanks Calculus! x)

[alchemitch]

videos like this are the reason im gonna pass maths lol thanks :D

[mynameisnotanumber]

Its so funny to skip around and repeat things over and over so it makes no sense at all. It reminds me of the first time I took calculus. I was thinking, "wha..?" Try it, its funny.

[PR0GRAMMING]

Wow, this guy's good.

[hekoloaka]

my god he saved my life such a good teacher

CONGRATULATIONS!!!

[cesfigas]

Is it dust me, or is it a damn hard subjet to study

[yudolicious]

Rofl!! I missed the most important class which was 'bout the substitution method and was say ha!! but, I do really understand it very well here, that instructor still rocks hahaha

anyway, I just want some refresh, I have already taken those things when I was in the high kool

[vandhanag]

very very helpful

[Howboutthinking]

at 6:30 how does the Ln come into play, help would be greatly appreciated.

[mechwarreir2]

I don't understand that either.

[qilongli]

1/u=lnu

[mechwarreir2]

thx

[SalvationEternity777]

d/dx (ln u) = 1/u

[gcash2009]

u mean 5:30, i guess... the integral of 1/x dx just is ln |x|.... thats all. as the derivate of ln x = 1/x. its defined that way. what u could do is draw the graph of 1/x and consider integral 1/x as the area under the graph... out of that u could see that it acctually makes sence. hope that helps ^^

[debunker1905]

remenber that the derivative of ln(u) = 1/u, hence the antiderivative of 1/u is simply ln |u|.

[u218064]

your are such a great teacher

I would love to meet you and give

you many thanks! :)

[johnsmithvideo]

Thanks for helping me pass AP Calculus!

[trancm]

thanks so much for the video~! they're really helpful. i had a calculus exam 2 semesters ago, and i remember that one of the example problems you did in one of your tutorials was on there.

[rryking]

put some pantera in the background and I totally understand what he's saying! Banging my fucking head to this shit!

[ladyomnivore]

you are such a great teacher!

[nickdoof]

I love the smile at the beginning and the end, haha. This guy is AWESOME

[jenloesem]

how can i know which number or variable am i gonna let it be u because in all the examples you choose differennt numbers to be u ????

[Entertainmentwf]

integration isn't algorithmic, you must just practice, practice, practice to choose the proper u substitution properly. Just look for patterns. He chose in the second one let u = 5-3x because he knew that if you got integral du/u he could find it easily since it is natural log. Just practice and look for notorious looking patterns to choose a proper u. Like if you saw any e^t it might just be easier to let it be u since it is easy to integrate. Integration is a different game from derv.s:)

[dontmess26]

i love you.

[chrisortiz713]

I really would've liked to have seen you take the derivative of your integral.

[willwalkkent]

Wow, Thank you so much. You are very very useful.

[panth92]

how do you find the indefinite integral of x/(1-x^2)^1/2

[shakirasexyforever]

in the world

[Umarluch]

Very useful to remind some of the facts :)

[carcinosgb]

Please... Be my teacher!!!Thanks a lot...

[mirelasidofarekokrra]

better than my teacher for sure...

[lightsaber4]

You actually can find the log of a negative number but it involves complex numbers.

[Gazette2008]

best math teacher in the earth

[polo123man456]

on earth*

[thinklongandhard]

Omg YOU SAVED MY GRADE IN AP CALCULUS!!!! THANK YOU as X approaches infinity!

[HankHillDoesWork]

from the left or the right?

[curioustoknow123]

arod,

what he did he just multiply the whole thing by 1 = 2 (1/2)

[MallardSX2]

Good stuff

[GiantHam]

youu really save my bacon

[rohano]

i love you.

[rohano]

I love you

[deathwishtomax]

just remember.. don't drink and derive. =)

[alexlaz]

you are math god.

[arod889]

i dont get it, once the 2 is eliminated doesn't the 1/2 go as well?

[calculus100]

Muy bien.

Este profesor es brillante.

[MathTV]

Gracias Profesor.

[Honeypassion]

i hate math *whines* I wish I had your math brilliance I'd be rich!

[sharkyboy36]

oh my god me want integrals 5 -_-

[ixach]

Yay. ^_^

[paz5]

Nice!