Indefinite Integration (part V)

[jaymejamjar]

hahaa, "then you will become an integration jock"

made me smile, which means a lot around this stressful time.

[renat1501]

derivative of cosx = -sin x. Why are writing that g(x) = sin? I think there is mistakte.

[Zacharei]

@renat1501 It's not the derivative, he needs to take the anti derivative. g'(x)=cos(x). Notice the prime symbol which means that this is the derivative of g'(x). So we notice by the notation of g(x) that this is the anti-derivative the ' symbol means we've already taken the derivative of the function and want to reverse it to get it to the original function. So the anti derivative of cos(x) is sin(x). Your thinking of taking the derivative of cos(x) which is -sin(x).

[renat1501]

@Zacharei Oh, thanks, I understand now!

[shapeurmind]

Mini heart attack at 2:54

[WontonRice]

I almost died at 2:54

[Ivan2005]

I must say you are a brilliant guy. I learned this a long time ago, but not the way you taught it. It makes so much more sense this way. Thanks for all your videos.

[karanaussie]

im not gonna tell my classmates about this until the exams get over. ive stopped attending math class at school. you and patrickJMT are sure gonna help me pull of a stunner on the result day :)

[MrSomeonenotspecial]

Sal, I love you man in a totaly non gay way <3

[stsrawmos]

I had my head phones on loud so i jumped when he coughed dammit

[ParanormalEnities]

@stsrawmos I almost fell out of my chair but i love this guy!

[tracruz]

Sorry around 6:30 not 7:30

[tracruz]

Around 7:30 when you're taking the anti-derivative of cosx and getting sinx, shouldn't it be sinx + c?

[lemons2255]

@tracruz It doesnt really matter becaus you had + C at the end

[stotherizzle]

I am NOW an integration JOCK :)

[sterminator2000]

i love the way i mute the video ,work through the intergration ,unmute it when i finish ,close my eyes n listen if we got the same answer lol...ur a legend mate

[NativePatrol101]

You are a genius. Keep doing what you're doing, When I'm done paying off my 40k in student loans I will donate.

[superduperfaghomo]

yeah dislike button!



[TubeTest42]

Paused the video to solve it using the rule. Got genuinely excited when I did. Thank you for teaching me; I'll be a step ahead of the class. :)

[idster7]

@ThePeracha he has associated the chain rule with the product rule in past videos too though. 

[Deathbreak911]

My class has done this many times but never explained WHY we're doing what we're doing. Then you come along and show that what we're doing is actually very simple.

I was so lost. Thanks x1000

[idster7]

why did he say the derivative of f(x)g(x)=f(x)g'(x)+g(x)f'(x) is given by the chain rule? Isn't it the product rule? I don't get it. Help, please.

[NativePatrol101]

@idster7 He says product rule..

[hourmat1991]

i'll donate cough drops so you could stop coughing, i have my headphones on and you made me deaf man... :) thanks for the video!!!

[therealWANSLEY]

you have to be an asian!

[EchoMillennium1]

the antiderivative of cos(x) is -sin(x) right? sal i think u might have made an error, but idk

[EchoMillennium1]

@EchoMillennium1 oh wait nevermind

[bombette93]

wow I wish my prof taught it like this! thanks so much! you are a life saver, seriously.

[lilshortypie72]

SAL YOU ARE MY HERO

[643218]

cool i understand everything that isn't trigonometric substitution lol

[scarlettbildhauer]

Thank you so much Sal! This really helps!

[Reggae4Triceratops]

ohh ok

[Soymilllk]

Why did you ignore that 1 @ 7:59 ?? isnt the integral of 1 = x?

[MrDoduare]

@Soymilllk

He's allowed to ignore that 1 because it's "f prime of x" times sin x , so he's really just integrating sin x :)

I had the exact same question as you until I re-watched the video

[Soymilllk]

@MrDoduare

Haha! oh far out now you point it out that's so obvious! I feel like an idiot now lol

thanks for the help

[Tweetyresm]

i actually think I'll remember this better than the uv method..

[lib3rated]

This is unbelievable. Sal you are the god of "simplicity." I can't imagine how easy it was to get a grasp of how that (u.v | v du) worked. This is a simpler and intuitive way to learn integration by parts.

"Any intelligent fool can make things bigger, more complex, and more violent. It takes a touch of genius -- and a lot of courage -- to move in the opposite direction." Albert Einstein

[JayDee98765]

Video learning is the way forward! :D

[pikapikh]

you're great in explaining but duddeeeee, why you use sin thingy? Ugh I just don't get it.

[ZnBangash]

haha the cough @ around 3:00 scared me lol because I have earphones on and my vol is so high. But thanks for the vid!

[eltotoX]

I feel like I actually owe you time of my life.

[doughnutts]

Wow, thank you so much. I just wasted my entire semester in class not learning anything. You have saved me from flunking university.

[okocimski]

lol...integration jock

[Chokotto21]

damn cough... consult ur doctor..... btw nice tutorial better that my professor coz my professor sux...

[righteousgroove]

Lol yeah Sal, it hurts when you cough in my ear :( but i love your videos!

[wesselbindt]

At about three minutes you coughed in my ear. :(

Great vids by the way.

[Onihikage]

Dude, you should get a tablet so you can write this stuff out properly! The mouse is holding you back!

[timtu22]

I think he was using one there. In his later videos he is using even better equipment anyway.

[g1code]

already did .. check the new vids in HD .. supreme quality , and a replica for one own hand-writing

[onlyAerik]

this video is 3 years old. You gotta check the dates of the videos as you watch them.

In his latest videos, he's using a tablet and has nice graphs pasted on the right to draw on.

[kre8tive]

man i really appreciate this.

[Yujushi]

its getting more and more complex ..YIKES!

[Metalmasterxxx]

The best video I could find...pretty usefull!

[ragusajr]

Sal this is all nice and it looks fancy!

[chriskill08]

im yet to find a better set of videos on youtube!!!!

[velmahill]

thanks

[Metalmasterxxx]

Wow man...your pretty good teacher...Why don'tt you come to my collage to give me some classes...I prefer good teachers instead of those renegades ones that are bored of teaching.

[xlwaiyiplx]

omg he always answer the questions i have in mind!!!

[sharvil1993]

Firstly, Sal you rock!!!

Secondly, I'm having problems. I dunno which of the 2 values to take as u?

[BigPurple121]

I would tell my roomates about Khan U but the curve is putting my scores on steroids

[Ebtoulson]

thanks sal....anytime i can derive one formula from another always helps me remember it.

[vohne]

integration jock!! HAHAHAHA!

[facethemirrorxx]

i was stuck at integration by parts for more than an hour - and now i understood it in 5 minutes - these videos help me sooo much - thx!

[chriskill08]

what is the DERIVATIVE of (minus) -ln(cosx)^2? is it sinx/(cosx)^2

[sirOwlbeak]

I really love how he explains the relationship between the derivative and the anti-derivative. It's pretty logical and I ask myself why I didn't saw this in the calculus classes.

[ddd1600]

"an integral jock"....that is about as awesome as "a gerbil, the opposite of a cougar".....good stuff good stuff

[01467603]

"u and v and dvd" lol

[jmohr00]

Holy cow!

[Mattprole]

This entire time integration by parts seemed like a bit of math magic. How silly I was ~_~

[iluvjiyongx3]

this is awesome. thanks! im learning from every vid!

[aztips]

I took Cal II last semester and mad it through with a B! I wish the book had explained integration by parts this way. The logic of it is so clean.

You're an amazing teacher Sal!! How about some sequences and series?

[jdbarbour804]

Word. spiffy thought process you have there.

[haythemmohsen]

i appreciate your working,really i learnt many things that i didn't learn.

[willowtreephoto]

Yeah... I never learned this, I feel like I am cheating my classmates by knowing it.

[nameless8908]

"intergration by parts is a derivation of the product rule." best thing i got out of this video.

[dakel7]

nice video man, can you do cal 2 Derivatives? with parts etc