Basic Integration Problems

[snap1119]

Nice video =)

[mikkeyfluttie]

you should write you X's differently from the times symbol as this can cause confusion. My math teacher uses x written like two brackets back to back, ie. )(

to represent x as a value. for times its written as a regular x,

[patrickJMT]

@mikkeyfluttie i never use x for multiplication. therefore, problem solved.

[9906197439]

"5 stars for basic" and 7 stars for good handwriting.

[patrickJMT]

@9906197439 everyone tells me i have good handwriting, but i always got poor grades for it while in elementary school

[kc243243]

great video! very simple and not confusing

[patrickJMT]

@kc243243 good, that is exactly what i am trying to accomplish!

[djg3123]

Dude you are the man.. it sucks my final is tomorrow and I only found this now but its a big help!!

[italopeirano]

whoever made this vidio thanks for making this sad world a better place

[faziwuzy138]

Your vids really helped me alot! Thanks for all the tutorials! =)

[1g4g63t]

@patrickJMT man, you rock, I love your videos! you should sell DVDs!

[23gnrss]

Integration is very easy. Very poor handwriting

[patrickJMT]

@23gnrss i love all the stupid people out there on the internets.  thanks for your very valuable comment, mom.

[deltaklm]

@patrickJMT lol

[emilieminh]

Wish I found your videos sooner! Can't thank you enough for how much these videos are helping me for my next test... for which I have 2 days to learn a whole unit on integration. I've had so many epiphanies while watching your vids, thinking "so that's wth the prof was talking about..." You've taught me more in a few hours than my prof has after weeks. Thanks again, you're a lifesaver!!!

[patrickJMT]

@emilieminh no problem, happy to help!

[MEHJABIN]

how do you integrate 1/(x^2+y^2)^3/2 with respect to dy

please post me as soon as posible

[gabuas]

i dont understand why do you add +c at the end in integrals?

[DongerZ1]

@gabuas it's the constant of integration

[NagashiChidorii]

@gabuas You add +C at the end because that C could be any number which is a constant. Remember doing anti derivative is backwards and there is a +C there because there was a number there before the derivative. When you go back using anti derivative the +C is added back because you don't know the exact number that was there its just a Constant. C is any number.

[jenncook1]

Your videos are great! I got an A in my 4 week summer calculus class by watching your videos, they are so helpful and really clarify the material that my professor can't. Thanks so much!

[yrady]

Wow! I really didn't expect to find any videos even remotely related to integration.

BTW do u by any chance have any videos related to Triple Integration and Vector Calculus

[josuanette]

i got an A rating in my summer class midterm exam in differential calculus too because of you but now im taking integral calculus and rarely have time to see your vids due to my work and it's really a tough subject without seeing your vids..........

[patrickJMT]

@josuanette congrats on the A. patrickjmt is always just hanging around youtube, waiting for someone to pay attention to him (ie, listen to his boring math talks!!). good luck in the class

[JimVenne]

Finally a left-handed dude doing calculus !!! i'm like the only one in my college :P

[josuanette]

There is no word that best describes on how i feel that you have been a big help to me in my Math. You obviously are a great teacher ! I feel blessed to have seen hundreds of your videos. Thank you so much for helping us !!!

[buzianyadatutube]

stc =(?) ctg ?

[gtace88]

OMG You helped me understand. Thank you so much! I think I can actually get Calc because of you. First video I saw and I loved it. Helped a lot. Thank You!

[joerules22]

Thank you!

[greyfoxxelite]

i love you

[RedScorpion97]

I have to still start AP calc. but I learned a lot from you before even being in the class.

[Mejiera12]

Amazing video as always patrick. Its remarkble how you can make this so simple.

[patrickJMT]

@Mejiera12 thanks!

[qiqelago]

we owe all this awesome science (Im not being sarcastic) to Newton and Leibniz they were both brilliant figures.

[patrickJMT]

@qiqelago both brilliant for sure!! however, many of the ideas they used were developed before them, however they did have the genius to pull it all together!

[qiqelago]

@patrickJMT Yes I totally agree with you, actually I just finished a book that by the way was really interesting about Calculus wars, and It did mention that Newton and Leibniz had a foundation which came mainly from the greeks and Galileo, there are more figures involved though that I don´t remember

sorry for my english jaja

thanks for answering

[TheEirica]

oh my gawsh, seriously, no lie, i got an A in calc because of you! ^^ everyone studies the long and hard useless damn book and study for a long time, with your vids, it's like fast and efficient! <3

[patrickJMT]

@TheEirica glad the class turned out well : )

[AntonioTR35]

OmG..

Im a Turkish guy and i try to learn integration though I dont know Englsh well.

But this guy is a god of mat ! 5.22 problem was awesome..

Keep doing this man.

[jay2yosi]

as always u r super

[electronic396]

thanks a lot for this video;)

[0111001101110111]

This is excellent, you've made so simple what my lecturer made so complicated! Thank you!!

[dynamics]

thank you so much, you're amazing <3

[elten400]

nice

[blackdefender]

Wow, nice tutoring dude! I really learned some nice techniques!...btw, how long is your paper?....it seemed longer than the usual I see...but anyway, thanks for the lesson. I learned a lot!

[SNOsquaredP]

you are the man. i seriously just sat here studying for a test FREAKING out because i didnt even know where to start. you saved me.

[shafranjareen]

Patrick! I have viewed all your uploads, something wrong with this video, not viewable, thanx for your videos, best of luck ,go ahead.

[ygustavo]

does anyone knows hows to solve spherical harmonics????

[lecoledecuisine]

move your hand..

[WeSparkAndFade]

your website has just saved my life lol

[Leftism01]

Mate, you are the best out there by a mile.

[aznvi3tg4ng]

Dude thanks a lot man. I was reading my text book about this for an hour and couldn't even figure out with all the BS they give in the book. Just came across your video and figure the integration stuff out in 5 mins lol.

[CommanderGrue]

thanks man ur awsome- saved me many hours

[kingdeadly1]

Smoke some weed and everything will come together people.

[pr3mix4lif3]

math in pen!! your a god.

[gcshibainu]

@pr3mix4lif3 correction: math in sharpie! even more awesomeness!

[dan1e1q]

OMG THANK U VERY MUCH!!! I have a really difficult exam tomorrow but you just cleared me some things .. keep doing this!

[horrabletypoe]

That line at 5:22 was /amazing/.

[EhtYlno]

cool, really! i forgot that there was a common in the numerator, which was sin x, i was really gonna do something else,multiply sin by cos, but this guy simply cancelled them out, cool, cuz i tend to rush things and in the end just mess up my answers! in the end, integrating sin x would feel rewarding hehe

[curiepotz]

I love you. lol.

thanks for this. :)

[pazteur2007]

@curiepotz thanks to patrickJMT he saved us in our exams tomorrow

[curiepotz]

@pazteur2007 haha. i think we'll pass our exams now that we've watched this. :D

[TheVkvkvk]

can't simply say thanks.....i love u

[jenniferobb]

thank you so much. for this whole site. it's very helpful. Are you a teacher ? What do you do ?

[coolmak179]

nice video...

[Algrieth]

Omg, I LOVE to derive and to integrate, nice vid man !

[uclmjohnson]

OMG! A left handed maths genius.

He must be the devil!!!!!!

[andy120692]

I'd rather watch your videos than read out of the book, thanks a lot! And by the way, I just gotta point out your handwriting is amazing.. haha especially at 2:08, that's a perfect integral sign.

[RogueFox68]

Can't thank you enough for putting these up man; they help so much.

[raiderz101]

come to my college and teach calc one and two, with out these vids id have failed both =)

[jeanforthewin]

once again, i love you :)

there was a point in the video where i thought you had done something wrong, but it turns out it was me being stupid. i will never doubt you again <3

[Elusefelier]

Epic win! Thanks :)

[nilsi1987]

Thanks alot man, love your vids

[chubchub123456]

Thanks a lott! Your videos are helping me overcome my fear of integrations.

[Becca682]

I'm in a pretty tough AP calculus class so sometimes its great just to take a step back and review the basics from a different perspective. THANKS!

[alvarotoledolima]

really nice video man, it certainly helped me a lot :)

[Sarria10]

Thanks Patrick! because of your videos i got an A in calculus 1. i freaking love you man (no homo)

[darshakjust4u]

just wanted to say thanx.... :) that would encourage u in postin more like this!

[adamkazmi]

I learnerd a lot in u r videos plz keep positing your work, Thanks a lot

[hockeymo]

awesome

[JoeRayes]

Thank you so much for posting this!

It was very helpful!

[savezera]

do u have any lectures covering kinematics. i searched in applications of derivatives and integration but didnt find it.

if not can u upload them soon? plz reply ASAP.

[ILT2M]

Thank  youuuu!

[99porcento]

Thanks in portuguese = OBRIGADO :D

[EmpireZ0S0]

In your second example. Would it hurt to take the radical and put it in the numerator raised to -1/2 instead of breaking it up?

[Gilb604]

@AldousTrisanu100 no it doesnt u lier

[illmatic33]

Great video!!!!!! The best i have seen covering explaining this! ;-)

[karatefox]

Thank you very much for posting :)

[nicolastimpanaro1984]

Thank you so much... very helpful

[yogesh892]

thanks alot =)

[WILLGYS]

Thank you for your vids! You rock my friend!! Really helping me a lot.

[Osiyor]

My guy... you are blessed.

[hacmachdien]

sewoon33: let u=sinx -> du=coxdx, dv=dx/x -> v=lnx

then you will have another integral: cosx.lnx. By using "integration by parts" method again and this time you should let u=lnx then the second integral becomes the original one.

[Sewoon33]

Does anybody know how to integrate (sinx)/(x) by using integration by parts?????? Keep coming back to the same integral. HELP!

[malfisly]

thanks

[ericchengcheng]

You missed the last dx after 4x cube

[sweeneytoddfan99]

Ur amazing! thanks!!! :D

[HuascarundRodriguez]

Danke für das Video :-))))))

[drkalidindi]

very helpful  thanks a lot

[flibbo92]

Found it very helpful. My maths teacher is abit of a dimwit so this was very helpful, thanks.

[lumicious424]

gr-8 man. your teaching skills amazed me. Thanks........

[fredboy6]

thank for every thing it will help me in my integral course youre awsome men!!

[letmego11]

Thanks for sharing your knowledge with us. The world would have been a better place if other people were like you.

[kirtapplante]

wow, I'm amazed at how easy it is when you explain it. hope I remember it all on my exam tomorrow !

[Eyongilneas]

What a great refresher for me. Thanks so much! Time to go watch more of your videos =)

[Fraleigh2009]

in the first problem, you cant intefrate 4x^3 .... you forget to write the change in x...haha

[liptonteppae123]

It is so simple that it doesn't matter.....

[kirarei12]

You are so awesome. Thank you so much. What an awesome study resource.

[shimirai21]

I understand your teaching Mathe easier than learn Mathe with my real native lan...

[chanabnagar]

forgot to write dx in the last integral

[GlobalDuty]

Mashallah

[nadiha143]

alhumdulila

[hunit123]

thanks, it was really helpful

[samanthamaney]

thanks, this is a great tutorial ;D

[mudassir1000]

nice work done...thnxzzzzzzzzzzzzz

[1986jryan]

you're left handed, you have no soul.

[vikice19]

what does this mean? I am left handed too...and I'm kinda harsh ...really.

[sunmoon101112]

really useful and obvious tutoring.

thanks so much.

[klaburn09]

thank you so much.....that was really a big help...

[blackdefender]

Nice Video! I mean I really liked the calculus subject more after you taught the easier way to solve them.....so thanks, many many thanks for helping people out!

[adsbrl]

i dont understand this help me im only 12

[mopman225]

stick with ur gr 7 math then. This is already a tutorial video.

[rhillner]

wait till you're older... you're only 12, you can't expect to understand this

[inhumator666]

For a good explanation of integration look up CALCULUS Volume 1 by Tom Apostol...hope that helps you

[H0SS302]

You dont understand because you lack the fundamentals of what it takes to do these problems. In 7th grade your barely learning how to factor.

You still need to know basic calculus(meaning knowing how to differentiate) to begin to integrate.

[cherrygrove1]

Good Video, i think it might just save my bacon

[xiaolintraditional90]

Is it just me or does the book Early Transcendentals by James Stewart really suck? I am learning all my cal from your videos and lectures in class. The book is totally useless for me.

[Repter75]

Agreed!

[RylyC]

It definitely isn't good.

[guptakartikey]

Hey man thanks a ton !!!!

ur helpin all of us out so well with your clear explanations and step by step solving!

really good!! thanks and cheers!

[furqanhaider2000]

superb this video helps me very much

[salil2192]

excellent. thnx for the video.

[umgviel]

nice one! .... so funny at 8.55 ... oops! :P ...

greate work, nice basic tutorial.

[Kaneda1337]

very helpful

[Saiyuri100]

Excellent

[behzad4ever]

u rock

[trinifire1234]

thanks alot bro, u helping out alot of ppl. Wish I saw it earlier, as to understand and prepare for exams better.

[iny0ureyes]

thank you for making these videos!, my calculus teacher is a mean mean old man and he just makes everything 100X more complicated and doesnt show us step by step. your videos really reallly help & i figured out how to execute newtons method in 10 minutes yay! lol. as well as integrals. he gives us the weirdest hardest problems, sad part is, hes writting the final as well as the in class exams.

[silkroadesp]

Thank you, i have the recu exam in september and i think that i will pass it viewing all of this videos :D

[patrickJMT]

already have

[kuklaization]

Excellent thank you.

How come the dx wasn't tacked on to the 4x to the third (approximately 44 seconds in)?

[cchapar]

It was supposed to be, its part of the notation. He forgot to add that on.

[youyesti]

merci

mais un petite romarque sur la 2eme linge:

il faut écrit "dx " avent 4x'''

[DrDerive]

Thanks a lot

[lincolnguabajara]

Very good, you should teach here in Brazil, in the UnB! hauheau

[Sagara113]

uhm....in the second problem... can i bring the X raised to 1/2 beside the numerator thus making the exponent of x negative instead of doing the algebra???...just asking...

[smurfnvans]

Awesome. MY TEACHER CANT BEGIN TO TEACH LIKE YOU. He has been teaching since 1982 and he is Terrible. Thank you for rocking my socks.

[RASTR000]

Integration go hell

[patrickJMT]

would you like integration to go to hell? is that what you mean?

if so, that is awesome and funnY!!!!!!!!!!!!!! : )

[boteion30]

awesome that's look easier than school

thanks

[sweetboycalvin]

dude, i never thought id be learning maths off youtube. thanks a bunch, you teach very clearly and at a very good pace.

[lukas159]

Very good!

[badjaeaux]

God Bless You

patrickJMT

for your Good work

[TimeTravelingPizza]

I am taking Calculus 2 this semester, but took Calculus 1 back in 2006, so I forgot everything...

But watching your videos is making it all come back now. :) Much better than my eyes glazing over the textbook!

Thanks! ^___^

[patrickJMT]

send me a pizza!

[wenzjayy]

i still have problems about identities....i hate it....

[stephhhannnieee]

omg you are amazing! i'm taking summer classes and everything is going so fast and my teacher sucks and now i understand it! thankyouuuuu!!!!

[jonalynBaBy16]

i have one question....where did u get ur brain?because ur so genius...hehehe..thank u

[mrgatorland]

he got his brain from skynet, he is the math terminator, lol.

[dellphillips]

thanks man, just cleared up some stuff

[squeebor]

Lookin at this the day before my physical chemistry exam, pretty helpful!

[cauberong91]

it's so easy

[AK47Jazz]

YOU ARE THE MAN!!!!!!

[drikusuk]

Thanks alot I find your videos very helpful!!!

[docmbc323]

Umm i think you need to go back and practice your basic math cause you are wrong. When you derive his answer you get (3x^1/2) - (2/x^1/2) then you find common denominator and you get (3x - 2) / x^1/2

[djmauropicotto]

Thanks for the reply , i now see it :)

[mrmagic342]

awesome video because i am really crap and now i understand more

[punkypippi]

wow thank you so much.. I have been stuck on constructing antiderivatives for weeks.. :/ I think this clears everything up

[chevapdva]

English HL, Physics HL, Chemistry HL, Biology HL, Swedish SL, Math SL and Psychology SL..

It is pretty fucked up, but it's soon over and it's a whole lot easier to study abroad than if I would had taken a national programme..

What are u going to study next year?

[Joemangy1919]

Well i need a grade 12 physics still lol to get into programs for uni, so im going back for another year to get Scholarships for it cause i cant afford it. But ya IB is fucked right up hbu? srry it took me so long to msg u back i was studying upstairs for math XD

[chevapdva]

That's what's great with sweden. Education is free ;)

I've applied to univ. in sweden in theoretical physics, technical maths and stuff like that. Might even go to Cali if I get an athletic sholarship.

It's about time i started studying xD ttul

[Joemangy1919]

I must say great job! That quick little summury really helps a lot. I got my International Baccalaureate (IB) math exam tommorrow and this is on it. Thank you once again :D

[chevapdva]

Me too :/

[Joemangy1919]

Oh ya? shitty... So where u from?

[chevapdva]

Sweden. You? :)

Which subjects do you have?

[Joemangy1919]

Canada. I got: English HL History HL Chemistry HL Math SL French SL Biology SL and Buisness HL. HBU? Not going to lie IB was a big waste of my time lol :(