Marriage of sin(101x) and (sinx)^99: MIT Integration Bee (14)

[@WILDXHjordi]

One of the most elegant solutions I have ever seen

[@arghyadeepchatterjee6100]

In the second step if you just integrate cos(100x)(sinx)^100 by parts you can directly arrive at the answer as sin(100x)(cosx)(sinx)^99 cancels out. It is called integration by cancellation.

[@dd-pv6kl]

Arghaydeep Chatterjee I did the exact same thing

[@darcash1738]

Cool. Makes sense too bc integration by parts is just reverse product rule

[@-eureeka-2806]

Me doing this problem for hours, also me: forgot to add the + C

[@monotonicallyuncertain2883]

This was my practice question from calculus section for JEE Advance exam

[@liam5010]

you deserve more subs dude

[@rakshitsawarn6447]

SUPER OP MANIPULATIONS THANKS FOR HELPING 😍😍

[@mark_tilltill6664]

The disbelief of this integral is amusing. The product rule and the trig identity have a deeper relationship

[@mathieuferey6665]

Waouw, this is awesome because this is something doable in highschool.

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@yusufqaddura7103]

You videos are amazing and inspiring

[@wlcostash]

Simply beautiful. What an elegant solution.

[@reckless_r]

Wow! It’s look so wild, but solution is great and easy!

[@aman_xo]

This question is in my high school book, I am not kidding! Wow

[@dbsllama6042]

Which book is that? Thanks!

[@aman_xo]

DBS LLama It is a not to be sold book, it is the study material which is provided by our coaching institute ALLEN.

[@eusterich3035]

lmao competetive rats well

[@animeshmajumdar66]

It came in my 12 grade prelims

[@vybs9235]

The +C 💀💀💀💀

[@krishnasomasundaram9155]

nice vid! I was watching the mit integration bee and was wondering how to solve this. Thanks!

[@anandhrajan99]

Great video from great channel!

[@mk9834]

just love your videos♥

[@marvinzhang3734]

dude I like your accent!

[@joaquingutierrez3072]

Nice solution!!!

[@tomvanmoer8202]

This was excellent.

[@田中_田中]

めっちゃ悩んだけど自力で解けて超すっきりした

[@cosh__x]

U need to add more brackets

[@bigcatsworldadaptedpintere7277]

Very very nice integtal with astonishing solution.thank you so much.🌷💖🌷

[@OPOD1999]

Very nice problem great solution. Greetings from Greece

[@bhupentalukdar4197]

Chen Lu!!

[@iamtrash288]

Pretty smart solution

[@rishabhmahajan6607]

This was nice didn't get the answer, but it ws elegant

[@kamarinelson]

I complexified and got the correct answer but man was forcing a product rule elegant. My way was still quick just more a little algebra. I remember seeing this like 2 years ago and not even attempting tho.

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@thayanithirk1784]

I think we can use by parts

[@Ray-qg2hy]

Amazing..

[@skorpid-tm4531]

YES NICE APPROACH TO THE SOLN

[@PraneshPyaraShrestha]

Are you Dr. Peyam?

[@harshdarji1122]

Wow so MIT asking is also questions from JEE-Advanced now😂

[@takemyhand1988]

It's an integration bee.

[@jesusalexisovallesgiuseppe5002]

Amazing

[@Mathematician6124]

Happy couples. 😂

[@stevemiller9481]

This same in my St. 12 high school exam

[@user-vm6qx2tu3j]

I was trying that! But couldn't go furthur

[@sagov9]

It would be a shame to forget the constant of integration after solving the hard part :)

[@kamarinelson]

sagov9 this is an integration bee level question tho so generally you wouldn't be penalized for forgetting.

[@horseman684]

dont you just convert to exponential?

[@padraiggluck2980]

⭐️

[@snipergranola6359]

How I can enter in m. I. T.

[@jagdishsingh9741]

Best part of this question that it is ancient iit jee qué and most of jee aspirants practice it everyear in secondary school

[@Supware]

"lol gg"

[@tsndiffopera]

Are you blackpenredpen?

[@sixsix7minus1]

Your exclamation, I thought someone overcooked your General Tsao's chicken!

[@lordalbert5606]

Oh my god

[@نعمللوحدة]

I r a genius

[@sixsix7minus1]

Gee, maybe force one to be 100+u and other 100-u? lol

[@rzezzy1]

I tried b+1 and b-1 for Feynman integration. It was a mistake...

[@sridharbajpai420]

a good Indian iit student can do it easily

[@iKhalid93]

I don't understand why I find your way of talking too annoying, great content though

[@31337flamer]

the math is beautiful .. your voice isnt..

[@LetsSolveMathProblems]

I'm glad you enjoyed the mathematics! I will try harder to produce a more melodious voice next time. =)

[@31337flamer]

dont take me serious :) im not even a native english speaker. im struggling with integrating broken rational functions :( esp.. partial fraction decomposition. your videos help me understand even the craziest integrations :D ty for that :) (look my english is worse and i sound like a mouse) :)

[@LetsSolveMathProblems]

Your English is impressively good for being a non-native speaker. I can understand what you are trying to say and hear your unique voice come out of the sentences. I'm glad my videos have helped you in your journey of mathematics! =)

[@mikhailnikolaev7282]

Amazing