Even integrand over a symmetric integral

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Just a quick little proof regarding integrals =) It's an important identity so always keep it in the back of your head! =)

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I dont know if I should be happy or sad that he will become a teacher, sure he will be able to make maths easier and more exciting to the students, but what makes me sad is that the current school system doesnt let students and teachers to fully express themselfs. Students wont be able to fully appreciate mathematics, because of the rushed topics and other subjects, to most of them only grades will matter to them. But of course I still hope he will be able to do his thing as always and will meet passionate students. Of course I am not trying to get you away from it, if you really want it then of course do it :)

mipmip
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That's the coolest presentation and interpretation! ❤ Thanks

sakibkhandaker
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Ooy, Papa, I forgot in which of your videos i saw you using Power series for just ln(x).
I need them to solve a Putnam problem.

danielkirilov
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>Your mother will never be a real substitution ;_;

codemagenta
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Ich genieße deine Videos besonders, wenn ich sie nicht ganz verstehe. Wo wohnst du in Deutschland? Ich habe vor vielen Jahren in Würzburg gelebt, als ich das Röntgengymnasium besuchte. Viel Glück in deinen fortgesetzten Erfolgen. Carl aus Orlando Florida

CTJ
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Hi Sir !! I have sent a question 2 days ago at your mail id and you haven't replied yet !! It's important !! 😢😢

mounodeepchakraborty
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Some symmetric boi in a symmetric integral. DOUBLE SYMMETRY! Also where is the Flaming Euleroid?

anegativecoconut
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These quick bois are also tasty papa, more will be welcomed, great stuff

MarcosGarcia-kklc
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Hey, sir, can you derive the trajectory of a projectile through atmospheric friction, thrown initially at an angle ? The force of friction I think is equal to 0.5*(fluid density)*(Surface Area)*(Friction Coefficient)*(Norm of the speed)^2

It’s been weeks that I’ve asking you this 😁

nicholasleclerc
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Very spicy overpowered boi, thanks again papa.

restitutororbis
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Flammy you have to try one of these International Math Olympiad Problems - they are online
That would be superflammable!

tatjanagobold
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You really love even and odd functions huh :v

Blackfir
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You should've used the geometric way of that. That could've been very nice.
Actually, way don't you try to use some geometry in later videos? Oh boi.

msalihyilmaz
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Anything on symmetry integration? Like a symmetry of 8 or 4 slices

watching
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if f (x ) is even then F(x) is odd; so int ( -  a to a ) [ f (x ) dx ]  = F ( a  ) - F ( - a ) = F ( a ) + F ( a ) = 2 * F ( a )

michaelempeigne
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With the substitution thrown in it becomes so simple and elegant. Nice proof. Thanks for posting!

chessandmathguy
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I'd be curious to see what you can make of this integral:

roberthoward
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I guess when it's hot out here we'd better not try to face too flammable bois, they'd instant burn.

eliot_
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yes!!! i liked this sith dekil i !!!sey

sansamman