The coolest trig integral!

[@CM63_France]

Hi, "terribly sorry about that" : 2:22 , 5:13 , 10:52 , 12:34 , 14:46 , 16:47 , 17:31 , "ok, cool" : 2:30 , 3:21 , 5:29 , 7:20 , 10:17 , 12:50 .

[@leroyzack265]

The fact those series weren't giving log,exp,trig or finite polymials made me think there weren't pretty. Studying them presently just make me understand that Euler too may be discovered the exp function as a series before giving it that cool notation. For those who haven't done advanced maths, those special functions usually look not natural. But when we see that a function is born as a series which is solution to a differential equation, all of them there for become natural. For me the most terrifying of all is the hypergeometric function that has 4 inputs. 😂

[@graham741]

It feels weird to think about the idea that functions born as a series for diff eqs also are born as mappings of sets with certain properties between eachother

[@leroyzack265]

Very violent result. It's cool those monstrous series expansion are denoted with pretty inoffensive letters.

[@maths_505]

@@leroyzack265 😂

[@maxmoedough6401]

Shout-out to all the Balrogs watching from the deep places of the earth

[@gchu_]

I watch from the depths

[@amoghopprasad8286]

bro just pulls out random greek letter functions and expects us to decipher what it means

[@dharunpranay8581]

Wow ! My first 3 favourite functions (gamma, beta, Bessel) used in a single video. But if my 4th function (zeta) involved it would have been more satisfied

[@darksecret965]

That would have madr it complex for sure 😉

[@aliboukhari110]

Excellent, Akhy, very nice integral🙂

[@xanterrx9741]

Lovely result , i hope for more videos .

[@orionspur]

Love them nested functions! Respect. 👊

[@ELKCreativist]

trigg snacc

[@alipourzand6499]

Terribly sorry about that, but if you have noidea what beta, gamma, Bessel and Struve functions are, either you have nothing to do here or you have to instruct yourself! Great video.

[@sakshampokhrel42]

Hey can you prove, tan(3x)+tan(2x)+tan(x) = tan(3x)*tan(2x)*tan(x)

[@giuseppemalaguti435]

Visto così,penso che avrò bisogno di 2/3 giorni per la soluzione...ma ci riuscirò

[@slavinojunepri7648]

Excellent

[@cdkw2]

well that took a while but it was worth it!

[@maths_505]

Indeed

[@emberdied]

I thought u will solve the two summation into a cool constant 😅

[@sobercohen7486]

wasn't very relevant to my current calculus course but i seemed to enjoy it as much as i could o7

[@maths_505]

Welcome to the channel bro

[@Anmol_Sinha]

Meanwhile me who got (pi-2+2cos1+2sin1) ....

[@Loots1]

i respectfully disagree

[@txikitofandango]

Maybe it would behave a little better if you integrated from 0 to 2pi

[@trelosyiaellinika]

Extremely beautiful as is your habit! You introduced two special functions I have no idea of... Food for thought and further digging for me... That's intriguing! Thanks! I think you have some discord between your mind on the one hand and your tongue and hands on the other, they are competing and jumping ahead of each other 😂😂 At 3:25 you missed the one half before the Beta function then at 6:15 you corrected it inadvertently and later at 15:25 you had the same conflict, which you realised and corrected immediately... No harm done. I really enjoy your videos Kamal jan. Keep up with the good work!

[@historicallyaesthetic2899]

Could you possibly use the complex trig functions for this out of curiosity?

[@maths_505]

That could work

[@historicallyaesthetic2899]

@@maths_505 I’m going to kiss you baby girl 😘🎻

[@aravindakannank.s.]

​@@historicallyaesthetic2899💀

[@GeraldPreston1]

epic

[@aravindakannank.s.]

hi bro

[@maths_505]

Hey mate

[@aravindakannank.s.]

​@@maths_505​ I dosed off while watching After I woke up i continued without even brushing just to question which multiverse I'm in after seeing this 16:04 .For one minute I just stared at the abyss .And asked what??, just to find out it's old school arithmetic error (which initially I thought I did wrong due to aftermath of sleep )