5 Challenging Integrals from the MIT Integration Bee 

the triangles color is orange. thanks for your enlighted controbution to the cause

Even easier way found do it this way my friend I = int arcsin(u) * 1/sqrt(1-u^2) du => arcsin^2(u)-I +c => arcsin^2(u)/2 + c

I am in 9th grade from the U.S and I have seen some JEE integration problems. I would say they are not too tough because you only need to know a couple of tricks. Such as the "kings rule" and the fact that that the differentiation of denominator is in some form of the numerator. I am not posting to "show off" but rather to give what I think.

@@qedmath1729 hmm.......ya. But I hope you would have checked out some jee advance problems and you can't judge the complete set with some sort of problems. It maybe true that the problems you picked up requires basic calculus and just short of tricks but I guess their are enough variation JEE advance can present you with.

@@tryingtopredict134 Yes you are correct, most of the problems I saw were from the JEE mains test, probably the JEE advanced problems are way harder.

JEE is just a couple of problems using obscure tricks to solve. There is nothing special about JEE. You Indians just have delusion of grandeur.

As the result, after JEE, all IIT or other universities in India are a joke. They cannot produce research mathematicians, only broken robots doing non-creative, repetitive work. And when you bring this up, they bring up Ramanujan. Well, Rama is an outlier, not a representative. And Rama is educated at Cambridge, not India. In the end, JEE is just a joke that gives the students a false sense of superior. If india has so many people that are good at maths, why don't they have lots of Field medalists? Why field medalists seem to come a lot from Europe and USA? See ? if you can only do obscure elementary maths, all you do is to complete a hoop people give to you, not contributing to real research.

He pulled them from his ass :)

They forgot to write it.

The resulting integral from the first integration by parts is the opposite of the other integral

Yes

Yeah, but this is _easier_ (and the derivation of tan(x)sec(x) is calculated, no formula).

He uses manim: github.com/3b1b/manim It's a python library created by 3blue1brown. It's absolutely amazing!

He forgot the limits of integration

Yeah india might want to figure out how to stay innovative instead of making ludicrously difficult exams

just see the mit integration bee, those guys don't even know the equation of sin(a - b) + sin(a + b) they just proof it a 3min integration bee problem, those indian guys memorize them at the age of 0

Its a test of speed bro even u and they cant do it so fast. just calm your butt down.

build a toilet? *indians sleep* do integrals? *indians awake*

no def no,last problem was a jee advanced level question