Integral of e^x sinx

This calculus video tutorial explains how to find the integral of e^x sinx using the integration by parts method.
Calculus 1 Final Exam Review: • Calculus 1 Final Exam ...
Full-Length Exam Videos: / mathsciencetutor
Calculus Video Playlists: www.video-tutor.net/
_______________________________________________________________________________________
Integration & Antiderivatives: • Calculus 1 - Integrati...
Calculus 1 - Derivatives: • Calculus 1 - Derivatives
Integral of 1/Sqrt(x): • Integral of 1/sqrt(x)
Integral of |x|: • Integral of absolute v...
Integral of Cos(2x): • Integral of Cos(2x)
Integral of Cos^2(x): • Integral of cos^2x
Integral of Sin^2(x): • Integral of Sin^2x
Integral of Sin^4(x): • Integral of sin^4x
Integral of Tan^2(x): • Integral of tan^2x
_____________________________________________________________________________________
U-Substitution Integration: • How To Integrate Using...
Integral of 1/e^x: • Integral of 1/e^x
Integral of ln(x)/x: • Integral of lnx/x
Integral of 1/(1+e^x): • Integral of 1/(1+e^x)
Integral of Tan(x): • Integral of tanx
Integral of Sec(x): • Integral of sec(x)
Integral of Sin(x)Cos(x): • Integral of sinx cosx
Integral of x/sqrt(1-x^2): • Integral of x/sqrt(1-x^2)
Integral of x/sqrt(x+1): • Integral of x/sqrt(x+1)
______________________________________________________________________________________
Integration By Parts Technique: • Integration By Parts
Integral of xe^x: • Integral of xe^x
Integral of e^x Sinx: • Integral of e^x sinx
Integral of ln(x): • Integral of lnx
Integral of (lnx)^2: • Integral of (lnx)^2
Integral of ln(x)/x^2: • Integral of lnx/x^2
Integral of ArcSin(x): • integral of arcsin(x)
Integral of e^[sqrt(x)]: • Integral of e^sqrt(x)
Integral of Sin(lnx): • Integral of Sin(lnx)
Integral of Sec^3(x): • Integral of sec^3x
_____________________________________________________________________________________
Trigonometric Integrals: • Trigonometric Integrals
Integral of Sin^3(x): • Integral of sin^3x
Integral of Sin^5(x): • Integral of sin^5(x)
Integral of Tan^3(x): • Integral of tan^3(x)
Integral of Tan^4(x): • Integral of tan^4x
Integral of Tan^5(x): • Integral of tan^5(x)
Integral of Cos^3(x): • Integral of cos^3x
_____________________________________________________________________________________
Trigonometric Substitution: • Trigonometric Substitu...
Integral of 1/(1+x^2): • Integral of 1/(1+x^2)
Integral of x^2/(x^2 + 1): • Integral of x^2/(x^2+1)
Integral of 1/sqrt(1-x^2): • Integral of 1/sqrt(1-x^2)

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

[@deepankarchakraborty236]

Reply me if you were also stuck in infinite loop

[@devynndunn9421]

i was

[@sean3888]

hey

[@pranavp0]

yesss

[@minshahat94]

you have no idea lol

[@aleck654]

yes

[@alpha6512]

That was the biggest "Oooooooooooooooooooohhhhhhhhhhhhhhhh that's how you do it" of my life.

[@pacocuhh]

Thank you! I had to look up how to do this so many times and this is the only time it made sense to me.

[@chairmandrek8230]

ohhhhhhhh, ok. I had no idea where my professor got a 1/2 from, now i get it. bless your soul my good man

[@jaydenrussell7491]

when I make I will pay you back in in a fortune this guy has saved from algebra 2 all the way to calc 2 in college and still one of the best at what he does

[@carmin.]

Thank you so much! Your videos are incredibly helpful :)

[@maxlafayette159]

Thank you, very helpful and concise!

[@adrielenehizena7505]

Thank you very much for this video.
It really helped me out❤️

[@martao.8663]

Your channel is just a miracle, thank you and please dont stop teaching us 🙏

[@user-kp7sw1nf6g]

Thank you! it became more clear for me now

[@shaddy2859]

Best educational channel ever

[@Snakesrcool2003account]

this was in like 3 questions for my exam lmao, thankfully i know how to do it now

[@ndiogoubarro2758]

Wow it’s very clear... thank you a lot

[@shannonsarazin7073]

You are a living legend sir. Thank you so much. :D

[@fairylove9659]

This guy is a genius!

[@comick2512]

Thank u so much you just saved my day

[@ajay45267]

I have doubt in LIATE exponential comes later than trigo than y u put u as e^x

[@samplager4482]

i think you get the same thing if you do it either way for this problem.

[@vaishnavipmadiwalar3882]

Thanku very much sir....Ur explanation really helped me a lot..thankuuuuuu😍😘🤩🤗🤗😇😇😇😇🙏🙏👏👏

[@musondadavies3374]

Much love from Zambia

[@GreenMeansGOF]

I found a more direct solution today that avoids this whole idea of subtracting the integral but it’s basically the same in the end. One thing to note is that technically the +C comes from the fact that we get integral of 0 on the right-hand side. It’s not necessarily the case that the integrals cancel.

[@ItsNoelle.]

I seriously love you so much

[@shipaz]

never thought it like this! thank u a looot, i literally have xms tomorrow

[@KacperNakonieczny]

any question I can't find a solution to will always be on your channel, thank you

[@OfficialIl_]

Integrate nicely done. Big thanks from france :)

[@luvgone]

thank you king. dont let anybody knock ur crown.

[@user-ee5lj9fe7z]

great video helped a lot!

[@sarojranjanswain3357]

I understood....nice one bro...love from India😉😊

[@inmov3140]

haha
you wrote Sex multiple times. And you managed to make this easier to understand than any of my proffessors at the same time.

[@santiagokinen4711]

gracias yankee sos un crack, saludos desde arg

[@davegoodo3603]

Thanks very much, very helpful.

[@fb3670]

Mathematicians have set out to kill me (and all students). You think you're restricted to doing sth when you go into more advanced problems but before you know it, the solution is gotten by doing the most basic ridiculous operation. I'm sorry but when he added the two integral expressions, I screamed.How...what....why...who. Wait ignore that last one. This just blew my mind

[@Haydara201k]

Thanks for the video, but don't forget to factor the e^x at the end in order to fully simplify your answer :)

[@kajolsingh2434]

Thank you so much Sir......

[@enass.muhammed7469]

Thaaaank U, I helped me a lot 🌼

[@jamiumustapha849]

Thank youuu very much for this

[@sohnfitzgerald7150]

This is by far my longest integral done 😎

[@ethanwood43]

Haha, it only gets worse. Much much worse

[@VroomZOOM]

oof... I was killin myself on this one... then you added the expressions together. I was like "ugh... that was cheap" Thanks for the explanation!

[@mr.cats101]

i love you the organic chemistry tutor

[@PraveenPraveen-hs8lz]

Gay spotted

[@yairacuna9398]

Thanks mate :)

[@shreyaskulkarni6910]

I wish this guy as my professor

[@morgan2102]

my textbook said this is what I'm supposed to do and I was still confused, something about some guy telling me the exact same thing makes it so much easier to understand

[@fish7455]

Absolutely beautiful

[@shreyaskulkarni6910]

Thank you brother

[@khadziandimathivha7950]

thank you very muchhhh

[@tajammulkha_n6791]

What abt ILATE rule .
Why not put u=sin(x)

[@sean3888]

you could, it doesn't really matter between trig and exponential stuff though. The rule could be LIAET and it would be fine.

[@musondadavies3374]

I like your explanations compared to that of my lecturer

[@shasanka9872]

When the dude add the like integral both sides ! I was like what why didn`t see that coming?🤣🤣

[@nareshbarik5384]

Thank u ❤️❤️❤️🙏🙏

[@magdawiszniewska5256]

youre amazing

[@Paraselene_Tao]

This one makes me chuckle.

[@muhammaddaniyal9211]

sir,please can you explain why you consider exponential function is the first function, why trigonometric are not?

[@muhammaddaniyal9211]

because by law of LIATE which i studied first we use trigonometric

[@_jerelle.23]

@@muhammaddaniyal9211 LIATE is an acronym developed for the order of choice, but for the last two functions(Trigonometric and Exponential) it doesn't matter which you choose, but the acronym LIATE would be more 'user friendly' or easy to remember than LIAET, if you try it with the trig function as the first function you would get the same answer for the integral

[@_inetuser]

that was goooooood!

[@bennisrodman]

Beautiful

[@sayajinppl417]

can you please do a sinx/x inteegral also?

[@RTD553]

Factor out e^x at the end!

[@onurislek7032]

Thanks.

[@nubex2420]

Thanks

[@ouissaljbilou3416]

Thanks 😊

[@chrisman5237]

god increase your age to impart more to nations. you are good.

[@nakizitovanessa3489]

Integration of e to power to 2X minus one / e ^ 2X+ 1

[@hypotheticalflash8507]

Thanks bro🤗🤗

[@jxckz7111]

thanks for getting me out of infinite loop

[@thatsnailisfast]

mind blown

[@soumaiakatem1500]

Thanks 🥰🥰🥰😍🤩

[@anonimo1629]

😊 creo que esta integral esta mal hecha porque tomando a ILATE lo que se deriva es la trigonométrica, por lo tanto u=sin(x) por lo tanto du=cos(x); dv=e^x y v=e^x y en esta explicación lo hizo al contrario

[@arthurdayne9852]

you forgot LIATE or what ?

[@dileepganagalla9242]

Thank you sir

[@danielmusyoka510]

For the part of integration by parts why choose u to be e^x when we have trigonometric functions?

[@FireMonty]

LIIIIIIIFE SAVER!!!

[@indfact3697]

Sir ! Here it is solved by the formula ilate, isn't it?

[@young7258]

感謝

[@alladda470]

I was solving this for decades and got no where

[@user-kn5ur6nd1i]

Sayar.Let Exponential function for 'u' Why?

[@fiafschannel7671]

this dude has no idea how many lives he saved god bless his soul

[@simrannahar8262]

May I add how crazy it is that he sounds like the weeknd????!

[@ugursahbaz6646]

I think that this calculation is wrong because u term of partial integration is sin x and dv term is e^x dx. If I am wrong, please reply.

[@mohamedhelmy6120]

Great👏

[@Listener970]

Feel like Dormamu solving this thing

[@stenzelstuff7227]

Aren't we going to follow LIATE?

[@ryanhuang7918]

sorry to bother but I think the derivative of sinx here should be cosx instead of (- cosx), please do correct me if I'm wrong or otherwise please write a edit in the comment box. thank you for this video! -- a random engineering student

[@user-bp3lo3wd4v]

that is an integral..

[@furyzlm7853]

@@user-bp3lo3wd4v lololol that was funny

[@isacoto948]

seen

[@user-jp1ns2xm4z]

enough math for today

[@islamicvideo-ot8vv]

More easy is bu using ILATE RULE THEN APLY BY PARTS

[@ameerulaman]

💜💜💜

[@basantadavi2983]

Differentiation of sinx is cos x not -cos x

[@yourboyfazal]

why dont you sue ilate formula for this ??

[@ameerulaman]

❤❤❤❤❤

[@giancarriedo715]

how was I supposed to know this lol

[@komalkumari3359]

You forgot ILATE formula

[@zzaa3765]

I am so tired 😭😭
I have an engineering analytics exam

[@ayhambarotaji5576]

❤️🌹

[@ramonaguilar9951]

diea does tot follow liat

[@aissaabdalahi9425]

Think you from algeria

[@aurel1533]

The primitive of cosx is -sinx
So ...

[@alexarchivechannel6673]

haha integral e^x funny word

[@midouxd2171]

yeah now i feel stupid

[@ernestogarcia6407]

can we put this on a shirt?

[@vithikahota6971]

Great idea!😆

[@xKroos6]

Bruh

[@coolguy51897]

Sex sin

[@toddbloom5939]

this feels illegal