Integration by Parts - Definite Integral

[porquemrpanda]

I love your step by step procedure, my teacher skips small steps which sometimes confuses me and being in the classroom setting I feel pressured to go along and not slow everyone else down

[patrickJMT]

@porquemrpanda happy that i could help. come back any time : )

[ybaheti]

I think you messed up your V in the integration by parts formula. like the uv - integral( V Du)... You put the V in ::: integral(V Du)::: as x^-2 when it should be -1/x ... right?

[Valhala112]

@ybaheti he multiplied (-1/x) and )1/x); "du" and "v", respectively.

[PedrSantiago1]

hey it doesn't change anything because ln1 = 0 but you forgot to replace x by 1 at 5:07

[chadkastleful]

@PedrSantiago1 yeah I was wondering about that too..

[negink89]

You are awesome. I am in differential equation, and I got stuck on this. Thank you:)

[scorpion22008]

Patrick ... you are the man !! i freakin love your videos they helped me pass calculus one ..and helping me with calculus two now... thanks :)

[patrickJMT]

@scorpion22008 happy to help : )

[punxoveremos]

Your "v"'s look like square root symbols. haha. Thanks for the video man. Very helpful.

[jihms]

just a question..so integration by parts is not solely for product of two functions, it's also for quotient just like in your example..am i correct? thanks!:D

[patrickJMT]

@jihms division and multiplication are basically the same to me. but yes, you are correct

[jihms]

i really appreciate greatly the abrupt response. tnx and stay cooL!:)

[87mrbojangles]

My teacher said that we should not, i repeat should not!!! learn the integration formulas. I'm so confused with this crap.

[patrickJMT]

@87mrbojangles oh, now i see what you mean. maybe they want you to be able to derive them, which is totally reasonable, but that is still learning them, isn't it? : )

[MrTrykster]

damn! i think we have the same tables! :D

[V7D2L7]

what's the integral of ln(x^2)/x

[TopazTheJedi]

Ahh, just had to say; your vids are amazing. I always know where to turn at 1 a.m when Maths shows me flames! Thanks a milli...

[orangejuicerox]

my professor told us that while integral of 1/x dx = ln IxI , the integral of lnx dx is not 1/x like you said in this video.. can you verify that please?

and do u have any tips on when it is appropriate to use integration by parts and when to use u-substitution? there are so many ways to integrate, but during test time, we dont have the luxury to go over so many techniques to arrive at the right one. can u share a tip u use on how to decide what method to use? thank you so much

[OnRockIT]

LOL! I was looking for example of rational functions and I came across this because I was having trouble. As luck would have it, the problem you are working on in the vid was the exact same I was trying to do. Thanks for the vid.

[SonOfNye]

Justin Beiber's music video has over 300 million views, and something worthwhile like this struggles for 60k. 'Tis a shame.

[patrickJMT]

@SonOfNye nah, music is art - nothing wrong with people liking art (even if it really crappy art)

[Matthew2400]

@patrickJMT maths is an art.

[blahblahdix]

how would this be applied tothe problem:

∫8xln(7x)dx

from 1/7 to 5

i got to [4x^2ln(7x) - int(???dx)] from 1/7 to 5.

the math program i use does not like to tell me the intermediate steps that i'm "supposed to already know" D:

I guess this is a request, and if you don't do those, sorry!

thanks for your amazing videos!

[Keyairis313]

whoever doesnt like thesee videos are crazy. this was such a big help to me. like for real. i been strugglin in my calc class. we havent took ne quiz or test yet (thank god) but just trying to grasp the concepts and the work. this has helped me tons. i will continue to watch. and im bout to subscribe and add you as a friend!! lol.

[andreasox23]

I can see your bare foot, patrick!! haha

[patrickJMT]

@andreasox23 i have nice feet

[andreasox23]

@patrickJMT yes you do.

I love you btw. ;)

[11031992em]

sir, please solve this : integrate sin(lnx)dx  thanks alot !! =D

[aarchas]

@11031992em try wolfram alpha, that website can solve most stuff, its a great tool. Also this video is over 2 years old I expect he doesnt really want people asking him to solve problems over his hundreds of videos

[dannypoissant]

I know this comment is pretty much pointless, but I just wanted to point out a little mistake you made. In the final solution of the last problem, you wrote (1/x) instead of (1/1). Not trying to break your balls, just wanted to let you know in case it might confuse someone.

PS These videos are beyond helpful. Thank you.

[patrickJMT]

@dannypoissant no, that is not pointless at all : ) i make plenty of mistakes and i 100% for sure want people to point them out so that others are not confused. it does not hurt my feelings : )

you also used a more tactful approach than many, so thanks for that!

[caroshea]

your videos make me understand! thank you ao much

[sandro9uerra]

Hello Mr. Patrik. I like to thank you for having created this video tutoring channel, it has been of invaluable help to me.

I have some Ideas for your T-shirt:

Math T- ∫hirts PatrickJMT dT

Maybe the limits of integration could be from me to you.

Also

I Heart* PatrickJMT

[sandro9uerra]

*But instead of drawing a heart it would be write be the equation for the cardio curve on the polar coordinates

r = 1+ sin(pheta), maybe that’s upside down, I have to review that chapter.

Or maybe all together on big equation like:

I r = 1 + sin(pheta) PatrickJMT parametric T- ∫hirts dt

I hope you find some of this interesting.

Thanks again for shearing your videos.

Sincerely Sandro Guerra.

[Pablothe]

haha I can't stop looking at your feet at the last minute of the video

[patrickJMT]

@Pablothe you know, as far as feet go, i have pretty nice feet : )

[pvtgarry]

@Pablothe now i can't stop looking thanks a lot ha ha ha

[ViggyNash]

Is it sad that I'min multi-variable calculus and linear algebra and I don''t know this? Then again, I am still in high school.

[iamman97]

SUPER HELPFUL!! Thanks man, I was having a brain fart and couldn't remember how to do this and I watched you and was like "OH YAH" haha.

[ikrice]

Thanks a lot, we learned much from you! :)

[ahsarcasm]

Are you a University Professor? because basically you are more awesome than our professor. We understood every thing you said, unlike ours that doesn't explain anything.

[spenken1000]

PatrickJMT. You have gotten me passed calc I, calc II, and am now re-watching your videos to re-learn how to integrate b/c of calc III and Convergent/divergent series. You are doing an incredible job man. Keep it up! I know many who benefit from your subscription.

[MrBeeflomein]

This is win. Thanks!

[grado1000]

This is a cool video. I actually took AP Calculus a few years ago and found that I couldn't remember integration by parts while watching "Stand and Deliver". That's when I searched for this video ;).

[childworshipsbuddha]

just went over this in class this morning and yesterday. it made very little sense after 2 hours of lecture time, then i watch a 5 minute video with an example and now it all falls into place. seriously, these videos got me through calc I and so far so good for calc II. THANK YOU FACELESS INTERNET MATH VIDEO CREATOR GUY.

[patrickJMT]

@childworshipsbuddha i have a face. it is on my channel page. but i am pretty low-key which is why you only get to see my hairy arm

[FuadHatem]

Hey man, shouldnt the Last line be -(-ln1(1/1)-1/1) ?

[scheisskind69]

2:03 it has to be devided by "-1" not "1"

[Yu2Kal]

@scheisskind69 wow how can u be so picky o.0???, he wrote the write thing so no need to be a utter douche bag

[shazamocean]

you wrote x when you said 1

[SpeedLimits65]

i got confused a bit at the part where you first rewrite it into the uv-Svdu formula. if dv=x^-2, then v=x^-1.

from the looks of how you rewrote the equation, however (the last line at the 3:27 mark), it looks like you're choosing to integrate dv instead of v. i was wondering if i'm just not grasping it or if you messed up or if you're doing a weird shortcut.

[aznDraGoN7x]

the x at 5:47 should be a 1 :P

[syndrome666]

sorry, I didn't mean a type-o, just forgot to substitute that x in 1/x with a 1.

[keetner]

5:13, you said "1 over 1" but you wrote down "1/x"

..?

[syndrome666]

@keetner that's a type-o and it is supposed to be 1/1 not 1/x which is in fact 1, so the whole thing should be [(ln2(1/2) - (1/2)) - (ln1-1)]

[Ollopaman]

lol me too

[Atomik0000]

Hey, i'm pretty dense, so this is probably a stupid question. When you integrated x^2, isn't there a + c? Most likely i'm just missing something, but if there was, what would you do with it? Thanks!

[jeanforthewin]

because there are limits on the integral, its definate, in which case you don't have to put +c

[Gansmiller]

@Atomik0000 since this is a definite intergral there is no +c

[syndrome666]

@Atomik0000 There cannot be a C (constant) as this is a definite integral, so the equation would be defined as the name suggests. If you were to do an indefinite integra, where there are no limits indicated then there would be a C constant added to the end of the equation.

[drinu93]

@syndrome666 technicaly you do put the +C in there..

but they cancel out.. @ the point where u do term - term

[darknecromancer34]

left handed...

[phoenixphilosopher]

Great video I also picked up on that mistake 1/x when inputting limits as well as when explaining the integration of dv to v, you mentioned it being x to the negative first over one, but its actually over negative one

[urduworld110mb]

Very Nice Video To Understand By Part Integration but one mistake he wrote 1/x when you was applying limit it should be 1/1

[DiLLyi]

Great Video :-p but i couldnt help but notice ur foot at 5:11 ;p

shows how good i am at concentrating on math LOL

[wisigothx]

and at 6:02

[Ollopaman]

lol me too

[plastiKreal]

lol i nice 1/x at the end when you said "one over one"

Keep up the good work man... I'll be checking back for updates.

[stanthaman09]

hahaha i saw tht to an was like wtf?

[MrPatMary]

Truly love your videos. However, I believe in terms of choosing u and dv, using "LIATE" would be the best route.

[ahmed4844]

thanks alott mate :)

[kombat1o1]

thank u

[kombat1o1]

i got exam in like 7 days this is helpin me go over ma revision

[kingpas777]

dude can you like show how to use integration by parts on fractions with radicals? thanks :D

[JoPiDo]

I love your videos! THANKS!

[Grobannela]

haha, In spanish I have a trick for this formula:

"Un día vi un valiente soldado vestido de uniforme"

U= Un

dv = día vi

u.v= un valiente

v.du= vestido de uniforme

"One day I saw a brave soldier wearing uniform"

In english have no sense at all..But it works

=)

......I'm writing comments and I have a test in 2 hours...=S

[patrickJMT]

hhhHhahhahaah funny

hope ur test went well : )

[RothmansRenaultF1]

@Grobannela I thought the v stood for vaca (cow). I saw a cow wearing a uniform. LOL.

[froggyluk]

@Grobannela you funny

[EATINGLIZARDS]

hah nice feet at the end of the video there. good vid , you have replaced my class time since the chain rule!

[rryking]

pat, your the boss. There just has to be a better way to figure out my questions.

[patrickJMT]

ha! i was just F-in with ya' : )

[rryking]

do a trig prob with 3p/4 and p/2 as the limits. Your examples help but theyre too basic

[patrickJMT]

sorry m'lord

[doughboi48]

thanks = ]

[SevereTstormFan]

Okay, as I was doing my homework I thought (v) was the derivative of (dv). But no, now I see v is the integral of dv. This video helped me very much, thanks!

[zep4life]

calculus is rough. thanks for the video

[SevereTstormFan]

Great Video! I am about to learn this in class over the next few weeks.

But what I am having trouble with is area of surface of revolution. How do you determine R(x)? Sometimes it's simple but I usually struggle in determining R(x). I would appreciate help if you have time, thanks!

[tombert256]

You are really helpful. I love how people like you are willing to teach me for free on Youtube. Made this section of calculus much easier.

[wynrick1]

How do you know when to do it by part? DO they ask you to do it by part in the exams?

[patrickJMT]

you just have to be able to recognize that you can do it by parts.

knowing what to do is the hard part of integration

[petercourt]

We're doing integration and differentiation, but we don't do it to this level. If you had some time, would you be able to do a basic video on integration and differentiation? Thanks for reading and for all of your videos

[patrickJMT]

hey peter... you can search my videos or my website... i certainly have some more basic integration and differentiation problems

[AlmostHopeless]

first to comment =) ur videos are GREAT!

[patrickJMT]

thanks!! : )