The hardest integral from 2022 BMT Integral Bee: ua-cam.com/video/SxNXrL-_tYA/v-deo.htmlsi=miEQpyVcUqYwOlQB Get your Ultimate Calc 2 Integral sweatshirt here: amzn.to/3Cx7YMQ
Very nice solution. My calculus had bene getting a bit rusty after more than 30 years without using it, but seeing your videos over the past year has gotten my mind back in the groove.
LOL IM IN THE VIDEO. I've never used a chalkboard before (so you can't read what I even wrote) and I was too nervous for my eyes to even perceive the e^x, so I just integrated the fraction on instinct and got it wrong.
Another great problem to share with my students. As I tell my students, most integrals are rigged in your favor, and this is an excellent example of a problem written to work nicely,
I pretended the e^x wasn't there and did partial fractions, (then multiplied it back) resulting in the sum of 2 integrals. Then I did IBP on the second one allowing the integrals to cancel. Pretty cool integral.
I didn't touch calculus for 2 years and I solved it within minutes during a psychology lecture🤣probably because I dare not to go for the complicated methods (partial frac) and accidentally found the pattern by looking at the DI table
when I first saw e^x I knew I had to use f(x)e^x but I forgot to do +and -1 ; but even then my real weakness is addition subtraction multiplication, heck I forgot long division 💀
Often the problems are specially constructed so that a trick like this will work. If you try to integrate a function that you found somewhere it could be very hard.
What is the point of calculus when it’s impossible to always get it right and costly to get it wrong? Too many rabbit holes. How is it possible to usually get the calculus right when it’s impossible to never get the algebra wrong?
The hardest integral from 2022 BMT Integral Bee: ua-cam.com/video/SxNXrL-_tYA/v-deo.htmlsi=miEQpyVcUqYwOlQB
Get your Ultimate Calc 2 Integral sweatshirt here: amzn.to/3Cx7YMQ
Very nice solution. My calculus had bene getting a bit rusty after more than 30 years without using it, but seeing your videos over the past year has gotten my mind back in the groove.
LOL IM IN THE VIDEO. I've never used a chalkboard before (so you can't read what I even wrote) and I was too nervous for my eyes to even perceive the e^x, so I just integrated the fraction on instinct and got it wrong.
I just thought you had developped your own system to write math faster abd was almost in awe😅
Pro Tip: Less gaming, more math.
@@lambdaproggrow up 🐈
I think you f'ed it up being under pressure. Otherwise it's an easy one😅
You're the right one or the left one?
Another great problem to share with my students. As I tell my students, most integrals are rigged in your favor, and this is an excellent example of a problem written to work nicely,
Another great video from a great man
Beautiful solution! Simple is beautiful!
I pretended the e^x wasn't there and did partial fractions, (then multiplied it back) resulting in the sum of 2 integrals. Then I did IBP on the second one allowing the integrals to cancel. Pretty cool integral.
wow I haven’t done calc in a while and this helped me touch up on my understanding, this integral worked out beautifully
That was insanely easy atleast considering we were taught that property of (f + f') e^x
Finally. U upload 😊😊. I also love math.
Cool - congrats to the BMT winners!
Just learned a valid lesson. Great work. ❤
u= e^x/(x+1)²
du = (x-1)e^x/(x+1)³ dx
Integrate : 1 du = u + C
R = e^x/(x+1)² + C 😴
I looked for quotient rule and since that has a square at the bottom I multiplied by x+1 to get (x+1)^4. Then, I differentiated e^x/(x+1)^2.
An interesting way to integrate functions with the exponential function ✨✨
The reverse product rule is dope
👍interesting, thank you
Thats a very hard to see reverse product rule!
Interesting integral and a great video.
I had been trying since the video was published. I have just given up few minutes ago.
where can i get the questions? i practiced some from your instagram and they were really good
Admiro muito o seu trabalho blackpenredpen ❤
Hey blackpenredpen, could you graph x^x for x
Woah I did this problem right 🎉
I didn't touch calculus for 2 years and I solved it within minutes during a psychology lecture🤣probably because I dare not to go for the complicated methods (partial frac) and accidentally found the pattern by looking at the DI table
If you do the u-sub and do integration on parts on one of the integrals, the two integrals cancel out and leave the uv term
great sir
Good!
this was easy quest like crying for e^(f(x)+f'(x)) type form
where does he teach? I think it would be great to take some of his calculus classes. It would be challenging.
He e teaches at Pierce College near LA
saw this as a shift 2 pyq
Is Berkeley math integration bee have their webpage like mit integration bee??
I knew that it will use this identity, maybe I could've done it few months earlier from now 😅
when I first saw e^x I knew I had to use f(x)e^x but I forgot to do +and -1 ; but even then my real weakness is addition subtraction multiplication, heck I forgot long division 💀
Did this in head....mit bee is much more fun tbh
can you solve x^6=(x+1)^6
x=-0.5 is only solution in R
@@thatapollo7773You just did someone's homework.
@@robertpearce8394 Fortunately if it's homework, they have no work to show for credit
❤❤❤
Really elegant solution, but how are you supposed to guess this? 😮
Thank you. And I would say experience definitely helps. I don’t think I can do it either if it was my first time seeing an integral like this.
Practice. Adding and subtracting numbers like that is quite common actually when solving integrals
Often the problems are specially constructed so that a trick like this will work. If you try to integrate a function that you found somewhere it could be very hard.
This is my school question 😂😂 i got it😅😅
E
красиво
In India we learn this in class 12 lol
Orz
Which county are you from sir?
Class 12th NCERT
INTEGRALS CHAPTER 😊😊
kounn hay bee tuu
Your ex father @@malayameher5177
Your ex father @@malayameher5177
Yeah bro
@@malayameher5177 your Xfatherr
first
Lol took 20 seconds.
Laugh out loud. You're a liar. Shut up.
@@robertveith6383 even a normal class 12 student can solve that in 20 seconds.
What is the point of calculus when it’s impossible to always get it right and costly to get it wrong? Too many rabbit holes. How is it possible to usually get the calculus right when it’s impossible to never get the algebra wrong?
?
Thank you for asking this. I thought I was just being an utter dunce!😂
branch prediction
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dude experiencing existential crisis...