Integral using partial fractions and substitution

[mariaisgorgeous16]

jajaja he talks funny xP I like the video

[psychoticstreetpoets]

blood sweat and tears!!!!ARGGHHH this guy will snap at you lol

[charicepempengco26]

thanks Mr. Muscle man it helps me on my indefinite integral problem

[moveaxebx]

3 log(exp(x) - 1) + 2 log(exp(x) + 2)

[dethwing]

Your approach works, but I think it's far easier to use partial fractions right off the bat. Letting u = e^x, you get : (5u + 4)/[(u+2)(u-1)]. Which is then 2/(u+2) + 3/(u-1).after doing partial fractions. Just my opinion. Also, as people have said, this way you avoid that pesky negative.

[itsmancini]

at around 9 minutes, when you break up the integral into partial fractions, i think you forgot the negative on the 3wdw.

[itsmancini]

very creative solution. I just need to ask, do you have a dip in? If so, thats baller.

[Brain704]

easy to say "in enough time you will get the answer" but what about on an AP test you dont have that luxury of time to be spending 10mins to a problem, just pointing that out

[Shweet7248]

I typed this integral problem into WolframAlpha and it gave a different answer

[midnighttutor]

i suggest you watch the videos on wolfram alpha in that case too. thank you for not subscribing

[trese0000]

@midnighttutor LMAO

[Shweet7248]

I wasn't looking to offend you midnight, I was just concerned that the answer might be wrong

[hvhfyjtdhf]

@Shweet7248 well actually, that is because the problem is not done yet, mr. Midnighttutor might have overlooked the "4ln(u)+C" @3:10. at the final part @11:18 he mentions that. you should have listened.

[Shweet7248]

@hvhfyjtdhf ya sure i didnt, i was in the wrong. but 'thank you for not subscribing' i was honestly just trying to help..

[khalid97899789]

oh! calculas!my gad

[pathfinder0009]

truly a batman of math hahaha, thanks alot , i encountered a problem nearly similar to this, and my skull cracks for about 20 mins.

[eatadick1]

This guy looks like he could kill 30 terrorists with a butterknife and he's solving partial fraction integrals. That basically makes him the batman of math.

[MPV839]

rofl i thought the same thing...just not as creatively.

[whoombat]

so true...

[ShadowKila39]

LMAO!

[michael102387]

@eatadick1 What the hell is wrong with your name. I bet you wish you didnt make that your name, cause now your stuck with it, and as you grow older, you mature and you relize how stupid you are.

[drblueeyes3003]

its drblueeyes and trying to touch base. call me

[haril007]

the problem was great BUT........A AND B HAVE to be negative...your result gives us a POSITIVE 3w...and we all know adding two positive integers yield a positive answer for all real numbers...but that serves no relevance to this problem, because the numerator is negative.

[Entertainmentwf]

He pulled the negative out to solve the partial fraction. It is a legal move to do that. He didn't show the final answer so I'd assume he would cloister the negative back in. He was just making the problem simpler.

[haril007]

you cannot assume in mathetmatics...I made my comment strictly from what is shown...you are going off of assumptions ; )

[dukemallan]

No he pulled the negative out. Theres no assumption, its in the video

[haril007]

yeah Ok...everyone has a different way of doing it....I honestly don't care...I hate when folks sit there and bother to reply to me....I've already made my As in Calc 1, 2, 3, and 4....here at Georgia Tech....I really don't care anymore = )

[dukemallan]

If you didn't care, why did you "sit there and bother to reply" Your writing misinformation, thats why we replied. kids are watching this video trying to get help in math and your feeding bunk info, so don't get butt hurt when someone corrects you.

[haril007]

CORRECT me!? LOOOOOOOOL this guy takes a short cut out of no where, and I point out a flaw in it....big whoop by do you give a shit!?

[dukemallan]

theres no flaw. Its a pretty basic step

[haril007]

ok...and exactly what do YOU do? go around correcting folks on youtube? get a life...I found a flaw...my opinion

[TinTin7777777]

God, this is so confusing. Boy came to the teacher and wrote a math problem in the board saying teacherr, I got a problem. Teacher said what is your problem. He said pointing the board that. Then teacher said problem is always a problem of another problem, which is how math works. Therefore he erased the whole problem on the board and asked that solved a your problem? It was problem because it is in the board. :)

[CPBach]

Shouldn't du/dx = 2e^(2x-1) + e^x ???

[Entertainmentwf]

derivative of e^x is e^x. It's essentially the chain rule. e^(2x) times the derivative of the exponent which is 2.

du/dx = 2e^(2x) + e^x

e^x doesn't behave like the power rule. It behaves like the chain rule.

[andrewwarmen]

You're an awesome teacher

[noeatingallowed]

I don't think too many truckers bother themselves with calculus. As for the equation, I would have reversed integrated the partially derived field log(n) with an R set of Lorentz bananas, and then took up a different hobby.

[miviamx]

better to do partial fractions from the beginning

[bkjoelover]

you're hot. call me now dude!

[fabvon]

freaking nerd stuff

[bkjoelover]

there was a pretty long assssssss pause at 3:55, LAWL>

[haril007]

this NERD stuff is what makes your car run...or allows you to drive your car over a bridge...or even allow you to get on the internet so you stfu now = )

[nahuelito2007]

Nice work!! the - sign detail is not important. He es teaching the solving method.

[Aloosh12]

isnt the power of the numerator the same as the denomintor? can't you rewrite the integral by long division.

[hecatonchiress]

indeed.. its sad he made a mistake this is a really difficult one nice job anyways and thanks for the colors and everything :P

[julyfogfrog]

-2ln|e^x+2|-ln|e^x-1|+4ln|e^2x +e^x-2|+C.....is the answer yall

[zaith88]

u can always complete a square of d denominator instead of partial fraction

[theid]

very nice work, i liked the use of all the colors, that made it really easy to see what was going on.

[pyrosarco]

Double check your work on your partial fractions @ time 10 minutes -- you lost a negative sign on the 3 in the integral (upper left).

This should be the correct answer:

3ln(|(e^x)-1|) + 2ln(|(e^x)+2|) + C

(Check by differentiation.)

[guest12344]

Excellent job! You people are fantastic!!!

[Giridorn]

Thank you soo much for making that very understandable, it really helped me solve problems just like that so thx again :)

[DiegoHCantor]

I wish I had this professor when I was studying calculus.

[zanza17]

you rock!!!

[pyrosarco]

He's wrong!