Integration Using Partial Fractions / Rationalizing Sub

[Shkencetari]

A great video. It's a great pleasure to watch your videos.

[MasterZeroOne]

It is like my math scripts are written on alien language when compared with your videos. :)

[xviperzero]

4 people got kicked out of uni cause they found the video a bit too late

[Waitingtoolong]

Patrick, i watch your videos everytime I learn something new in Calc2. Your videos are great for solidifying my understanding of concepts like these. Thank you so much.

[patrickJMT]

@Waitingtoolong absolutely my pleasure

[abhi9875]

dude ..Plz upload a compact video for integratiOn ....i m sick of finding and downloading! ....??

[patrickJMT]

@abhi9875 stay sick.

[scottythahottie89]

wow thank you so much!!! you made that look like a breeze and now i understand it so much! My Calculus2 teacher makes things so hard but you make it simple! thanks again man

[tedzxavier2011]

how do you answer this one (not in symbols sorry): ∫dx/x-x^1/2

[djisomatic]

@patrickJMT I find it amazing how calculus professors for the most part spend years in school getting their PhD yet they can't teach nearly as efficient as you. Honestly, if I ran a university I'd make you Dean and Chief Director of the mathematics department and give you the highest salary possible. I'd also give you unlimited tenure and emeritus status early as heck. Any other professor-perk you'd want, you could have. It's the LEAST you deserve. You and Sal Khan. Thank you so much!

[ayubk001]

thnx a lot man

[astrotrain101]

p.s nice video,, thanks mate

[astrotrain101]

im trying to learn math, instead i get blasted by an add about STD's!!!!!!!!!!!!!

[sliman633]

thank you you are wonderful relly

[Drake8604]

Ahhhh! That's a long problem! I have a test on integration techniques soon and while I understand everything that you did, I don't know if I will be able to realize what to use. Thanks for the help!

[Johannady]

ooo~ that squareroot part is useful..

i didn't know that :p

thank you :D

[mufasa2005]

thanks a lot this really helped me understand how to do my homework. lol I was so confused. thanks for the help.

[Marsc0met]

makes soooooooooooo much more sense now. thanks

[SilverstoneSarah]

And then you can get rid of the absolute value signs from the answer for the term (2/3)*ln(abs(sqrt(x+2))+1)) because (sqrt(x+2) +1) term will never be negative (aside from the imaginary numbers). Also, there is a restriction that must be considered here, and that is, x>2. Yes?

[MsGhooost]

thanksssssss 

[MsGhooost]

thankssssssssssssss

[ermitz90]

May I know why "u equal to square root of (x+2)" is the first selection? can we let u equal to x?? need some guides thanks Patrick. :)

[patrickJMT]

@ermitz90 well if you let u = x , you are just renaming your variable.

[ermitz90]

@patrickJMT thanks. ^^

[eva1304]

where did the A and B come from??!!

[eva1304]

wait.. where did the A and B come from???

[agud]

is u a mathl33t?

[13loodLust]

HEIL MATH TUTOR!

[barnamah]

wow this is amazng and I learned stuff from your video. thank you.

[Av3rnus]

very helpful! thanks very much.

[darknecromancer34]

arigato.

[anji0san]

domo arigato gosaimas :)

[anji0san]

Thx a billion Patrick

[thetsangster]

ahh how come you multiply 2/3 and 1/3 by 2??

[iki0o]

@thetsangster oh cus theres a 2 outside the whole integral, you see it at 5:25

[alwaystvxq08]

@iki0o ohh thanks!!

[1aaronaaron1]

thank you so much this is so much easier then trying to understand textbook examples

[vioIentneko]

do basically...you are my savior for finals.

[Silentshadow664]

Amen dude, amen.

[kartuned]

i have a question. how do you know what to put under A or B, such as A/u-2 or A/u+1? i think the answer is different if you use A/u-2 vs A/u+1.

[sheenapak]

it's doesn't really matter what you put. A and B are just constant. You could switch the denominators under A and B and still end up with the same answer at the end.

[coolhazim0]

It wont be different. You can put A/u-2 + B/u+1 or A/u+1 + B/u-2. But usually, people put the first terms under A. But nonetheless, the answers will be the same for both cases.

[YeyaOrgasmachine]

you are GOD! thanks :D

[alex267441]

oraleeee ps ps ps no entendi na

[mudassir1000]

god bless you

[adheeshz]

nice and clear free tuts ur the man!

[Shrubbs]

Sweeeeeet

[rawadov]

can any1 tell me when do we have to put smthin like Bx + C in the numerator? is it just when we have a smthin like x^2 + 4 for example? thanks for the vids patric

[patrickJMT]

yes, if there is an irreducible quadratic (like x^2 + 4), you need to use the (Bx + C)

[noartificialflavor]

wait, so do you use (Bx+C) for anything irrational, or only when its raised to the second power and irrational?

[malignmania]

when its to the 2nd power. basically, the numerator's power must be one less that the denomintor. ie: Ax^2+Bx+ C as numerator for a denominator with highest power=4. hope it helps =]

ps: they usually dont get that gross though

[Maximum40]

YES, You are my favourite youtube channel EVER!!!! I don't even have to go to class anymore WOW! Keep up the good work.

[svfan]

since age 22???

wow thats quite an achievement man! I hope i can be half as good as you are in math.

thanks for all the videos

[mnm2343]

would it also be possible to solve this problem having x=tanθ?

[cartooon10001]

thank you so much!!!

ur so great!!!

GODBLESS

for sharing ur knowledge..

...gemz ...from phil.

mwuahhhh...

;p

[telodadar]

hey, what book r u using as ur ref??

[FlippinPin0y]

BRAVO!

[cruthybabie]

the fact that your handwriting is super neato is very helpful

[nanohark]

and me... hail me, too...

[patrickJMT]

hail everyone

[nanohark]

All hail Patrick!

[Putns90]

Thanks! :)

I have an exam in Calculus tomorrow, and these videos were just what I needed :)

[sdnguyen10]

ur better then my cal 2 professor lol

[tuveyou]

dude, this will help me pass my AP Calulus exam!you totally rock!

[LiesMustStop]

Thank You. Good review.

[Syruscleat]

Dude, once again I applaud.  You explained the subject perfectly. You should be a Math teacher. Oh, you are?

[patrickJMT]

yep : ) been tutoring for half a lifetime and teaching at university since age 22! : )