Calculus 2 - Basic Integration
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- Опубліковано 28 вер 2024
- This calculus 2video tutorial provides an introduction into basic integration techniques such as integration by parts, trigonometric integrals, and integration by trigonometric substitution. It contains plenty of examples.
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heading into calc 3 and needed to dust off my calculus skills. This video was the perfect refresher. For those of you heading into calc 2, if you can understand the last problem in this video, you're golden for the class. Trig sub integration is some of the hardest material you'll cover in calc 2. Thanks again!
man My calc 1 professor was the absolute best, he explained every problem clearly and showed multiple examples of the same concept we were learning. now this semester in calc 2 my professor just smacks problems on the board, gives us 3 minutes to work on it, then he'll begin to solve it on his own and move along. I know I have these skills in me but this intimidating class is giving doubts...
Would rather attend The Organic Chemistry Tutor University 💯
This
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Frrr
I always enjoy the way you teach. You're always my no. 1 math teacher.
watching all the ads because dude you literally save me in so many courses. THANK YOU
i have so much anxiety for calc 2 next semester..
Alex Mireles me right now
me too bro
me too :(
Same :((((((((((
Calculus 2 is madness.I mean I believe it is not something human creation or not from this world.This damn lesson is from somewhere we can't even imagine or want to imagine.
I took this terrible lesson 3 times.Goddamn 3 times man.Even I prepared well,even I follow lessons without losing my focus.This wicked lesson have been changing its form to another unknown problem and blew up everything to my face.and let me tell one last thing.This is not even its final form.
Your knowledge and your skill of teaching is divine. God bless you
Back to the good ol' math videos! Keep up the quality content.
great content ...l watched some of your tutor and passed my exams last semester...l got fast class.
Passed calc 2 because of you. Thank you so much dude.
I'll be taking it next semester
Broe how did u pass I’m try pass too😊
@@TheSTORYTIME111bruh I’m on grade 12 and this looks easy as fuck
@@AR-sy2rk yh im 14 and i understand this completely also, i think its just because this guy is a good teacher
Going into Diff. Eq. and this was a great review. Thanks
Thanks again for your great math instructional videos. Our college math professor keep making mistakes. I correct my learning by watching your video clips. I trust your videos more that my college class instructions. You are doing very great. Something you may want to work on is: Writing smaller size and more detail (clearer). You write with bold and large fonts, this is why you keep running out of space. I am taking Calculus II and III after that. Thanks again
You are literally saving my life. I’m going for my second bachelors degree and I haven’t taken calculus one in seven years. Thank you !!
Thanks for the great content... although I'm still struggling, so many things that come out of left field i dont even know where a problem ends or where it begins ***sigh*** keep up the good work.
You reallu helped me in my calculas 1 exams but can you please make a video on fuction of multivariables
This is some great quality stuff man.
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I cannot finish enjoying the knowledge shared by this brilliant teacher. He is my Math star. Great teaching.
I'm gonna try and
@@godzinna did you try?
@@Nischal_Gamingyeh and this guy's entire channel helped me through my mechanical engineering course. Did I finish all his videos?No. Did I try? Yes. Did he help me?Immensely
This guy has the best UA-cam channel for maths.
@@godzinna Hell yeah, great to hear bro! His vods are carrying me through computer science math requirement classes too, best of luck out there!!
glazing
I love your voice,its calm, friendly and i don't feel fear unlike my teacher
Thank you, I perfected my exam in engineering.❤ Great help for an average student like me.🎉
Thank you so much for the videos.
No joke. This dude saved my ass on the day of my calc 2 final. Luckily, I passed and won't have to take anymore math courses for my major.
The voice😍😍
it helps me a lot. Thanks!
Me too
Ironic I started learning more intently now after I barely passed this course. But still. I currently have physics based calculus 1 which will definitely be useful
Great teaching right there...right now I understand calculus II better...THANK YOU
passed calc 1, linear algebra and discrete because of you
I learned a lot from this video. thanks a lot. Excellent video
As of the day I made this comment, I am taking Calculus and I find this video very helpful.
I'm only in 8th grade, but I was just curious if I would be learning this in my later years.
If you go to college, and choose a S.T.E.M. degree you will more than likely be taking calculus 2. Most degrees stop at calculus 1 although.
if you're a nerd you can start practicing when you get to highschool, if you're planning on majoring in something mathematically-extensive then you'll save urself so much time, pain and confusion
@D - hunt I'm only in algebra 2 and only know the power rule and constant rule lol. Hope to learn more in the future
Also the trigonometric functions are interesting to me. It makes equations look more visually appealing imo
@D - hunt right now I'm in radical equations with rational powers it's really easy. Also I'm in Grade 11
How to become successful and respected = 76K views
Any silly stuff that sb does = 200K plus views
This world....
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Thank you so much, my calc professor Keeps making errors and is soooo slow in class that most of us are falling behind with studying
Can you please do Real and Complex analysis next
Here theoretical concpets are not just sltion of question
So basic concepts theory must u include
this video was really helpful. thank u so much teacher.
i took calc II (MATH 102 ) in 2019, i am here to review it for calc III ( MATH201)
14 Sep, 2021 - 11:05 @ Building 63 - KFUPM
S.L
same
so how was cal III? I am in -_- and I am here lol
thank god your dad didn't wear protection because you are a life saver!
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It took you very long to upload something. Thanks my teacher.
Thank you especially to the last one
Mr. You deserve it👏
do we need this for calc ab to sometimes or not at all for ap exam
just the exam
He is the best.
Starting the Calc 2 Journey now. Pray for me guys.
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My comment cant define his brilliance
Thanks a lot.
6:40 Why can't cos^3x = u? Why is substitution necessary?
cos^3 (x) is the only function. Substitution is needed for integration by parts. Also, this way, it cuts everything nicely into an integrate-able format.
Why does it seem so easy when he does it D:
why is u= sinx instead of -sin^2x
25:45 how do you replace only one theta when there is still 2 in the final equation
Do you use a style or a mouse to write out on your videos?
I don’t understand the cos sign rule
Do you guys think it’s a bad idea to take calc2, organic chemistry 1, and physics 1 in the same semester?? I don’t work so I can devote a lot of time to studying.
Its better because calc 2 applications is also related to physics
Nicko Emmanuel Villacruz ohh really?? Thank you 😊 I’m nervous about it but I think I can do it.
@@bobrohubres7704 How did you do?
I did this (physics, differential equations, cal III) it was awful....too much work and comprehension just with one class alone
@@LeAndraTOOweird Bro Calc 3 is a pre req to Differential Equations. So how exactly?
thanks tho. got an 81 for calc 2, literally attended 2 actual classes
The calculus of an 8 character problem *Perfect whole #* would be let me see... It would be 3x=6.
Tours will be covered..
is it true that calc 2 is harder than calc 3?
im taking both and yes calc 2 is harder
actually i cant decide they are both hard im fucked up
cal III is harder because if you did not understand what you are watching in this video, it comes back to haunt you making it hard to complete your problems (that are ultimately very simple lol)
Product talk without people getting upset would be great.
- Is this a sponge or a stress squeeze some time later.
problem 19:23 nooooope
Does the creator.of this video make multivaliable calculus vides?
why bother with du, if you not gonna use its value?
really nice guy
Is it common for a 10 grader to learn this?
In the US, no. However, in many countries it’s common for this to be taught to younger grades. I took calculus 2 in my senior year of high school. My mother who comes from a different country learned it in 10th grade. Hope this helps :)
at 1:26,how is the integral of dv becomes v, it works for integral of 2x but nothing else, am I right?
The differential dv comes from dv/dx, which is the derivative of v. If we want to turn the derivative of v into v itself, this means we need to integrate relative to x.
Still didn't get :(
this looks similar to U-substitution but not really...
Lol back here because im taking physical chemistry and dont remember calc at all haha
DI method is sm much faster
What a guy.♡
Great stuff! - Just what I'm studying rn... Editing is fantastic, I like this notation. Wrong X lolol }{
Who the hell came up with this crap. I already have a headache😂
i start calc 2 in a month, i am scared
Why is calculus so boring?
Lexi Zeilinger you made it that way
It's honestly a really interesting subject if you're trying to understand the reasoning behind the way a lot of structures are made in the real world
Miguel while this is true, it is very difficult to see this concept in Algebra to Cal 1 and maybe Calc 2
Mostly because when you are learning it you aren’t expected to view real life situations using calculus
I say it is interesting because you grab all the math fundamentals that you have learned in Algebra, Trig Geometry, Precalc etc and combining everything with Change
All Math is, is well CHANGE!
Calculus is change with less linear functions but rather with curved functions and eventually and rotated functions to make 3D objects
Above that you do get introduced to related rates which incorporates more real situations of change
To make calc less overwhelming you have to consider that you are started off with three main tools
Limits
Differentiation
Integration
The rest should fall easier into place but I yet have understand calculus more since I will be entering Calculus 2 in less than a month so who knows what lies ahead but I have a pretty good idea :)
@@davidobenitez3866 Those were some great points you brought on regarding calculus. I was referring to related rates, as well as optimization, when it comes to applying calculus in a more real-life situation.
@@davidobenitez3866 Also same here, just finished up Calculus 1 this semester. Hoping I can do well in Calc 2 as well and came to this video to get an idea of what im getting into lol
I have a university competition in integrals, God willing, I will benefit from this explanation and get first place 🤍🤍
At 12:45, you say that converting into 1-cos^2x won't help as it is pointless and u-sub won't work either . . . before this bit I attempted it myself and I did exactly that - I converted and did u-sub. Ended up with 1 - cos^3x/3 dx. Why exactly will this not help? Like why is it this method is pointless.
Your heavenly sent by god specifically for engineering students❤
I'm not going to do your work for you it's something you don't do let's try this again x-3=2.
What happened with the 1 in [1-u^2] when you integrate? Does it get yanked out because it is a constant ? Thank you
Sir, we can't thank you enough. Keep up d great work.
For some reason I am able to near fully understand every topic you cover thanks man
Hy I really appreciate your videos helps a lot but I wanted to Ask how to determine U and du in any conditions?
Once you figured out the differentiated part in the integrand, you know what the U part will be
INT f(x) g'(x) dx
dv = g'(x) dx
u = f(x)
Sir make videos of LCM and HCF please
Professor Organic Chemistry Tutor, thank you for an exceptional Introduction to Basic Integration Techniques in Calculus. Basic Integration Techniques is important in all levels of Advanced Mathematics. Techniques of Integration is used to breakdown and integrate complex integrals in Mathematics. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
Wait why is the half angle identity used and not the Pythagorean? Time: 13:20
Edit: I see, this also equates to the hyperbolic identities. Nice!
Thank you for the dent maxing
At 7:05 u confuse me. Why do u say it AD of 1du is u when im looking at [1-u^2]du which to me seems like [u-u^3/3]u. Am i maybe forgetting that the du becomes the +C and not the u at the end of the brackets i initially put?
Im trying to get ahead before calc 2
ياريال فديت امن يابتك
admiring to this tutor👍very patient to solve the problem
Therapeutic video
This is my 13th reason
at 13:05 you said you implied the half angle formula/identity, but its the power reduction formula/ identity. sorry just thought i should mention it just incase someone else is going crazy like me cause I trying to figure out how the half angle formula turns into that until I realized it was the power reduction haha
It's the same.... I learned it as half angle formula.
My pledge to you as a teacher would be that you can get quadratic equations on your own.
- .... Look over there you want more?
How do you know which one to make u and which one to make dv?
A rule of thumb that works about 80% of the time, is LIATE. Where logs (L) and inverse trig (I) get priority to be differentiated, while exponentials and trig functions are most likely to be integrated. Algebraic functions (A) could go either way, depending on what else is in the integral.
Simple trig and exponential functions will loop when either integrated or differentiated, so they don't get more complicated as the integration process repeats. This is why they tend to be more likely to be integrated. When integrated together, you get looper integrals, where you stop when you spot the original integral, and can solve for it algebraically.
Logs and inverse trig become algebraic when differentiated, which allows you to regroup them with another algebraic function, and integrate by another means.
Algebraic functions, specifically polynomials, will differentiate to zero, so they can end the process when integrating a polynomial times an exponential, or a polynomial times trig.
I love you, with your lectures I am able to cover the whole semester Math class in just few hours
anyone have a calc 2 playlist from this guy
\
V??
Excellent
Kindly sir do partially differentiation
Anyone help me plz
adamsınız hocam
daha çok adamsın hocam
daha daha çok adamsın hocam
vazgeçtim...
Sir plz help me