Integral of e^(x^2) & the Imaginary Error Function

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Integral of e^x^2 using the Imaginary Error Function!

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"I don't like to be on the bottom i like to be on the top"
-blackpenredpen 2018

sarveshjadhav

What a wonderful integral. I like so much when you uses complex numbers to solve problems even in the real scope.

jonatanpinsard

"This integral is so cool! There's you and I!" haha

ege

You are the greatest man in North America, you completely DOMINATE this subject & still manage to be a nice & awesome person! Most people get hardened by the difficulty of higher maths & must become assholes in order to continue leveling up. You on the another hand did NOT have to make that adaptation, it is just fun for you & you make it fun for the rest of us. I used to SUCK at math growing up, I was always more visual & enjoyed drawing & doing graphic art stuff. But at some point in my life I got interested in some of the technical stuff I saw in calculus & so I began trying my best to level up. Now I am in college & got the 2nd highest score on my last Calc 1 exam thanks to your videos making it fun! Might not seem like a big deal to many of your subscribers as many of them seem to have great math skills, but only if you guys knew how BADLY I sucked at math then you would understand how important getting such an exam score means to me! Thank you SIR for being one of the GREAT mathematicians of our time!

XTheDentist

3:16 "There's you and I act together in this integral. So cool !"

Mr.blackpenredpen, 2018

AdiyaBayarmaa

In Russia "The Calculus Show" is prime time television.

VoteScientist

I saw this integral and tried to solve it by parts, but I failed, with your video I can finally understand how it's done, thank u so much

mikeratixxd

Hii sir I am from India 🇮🇳🇮🇳 you explained very well thank you teacher

V.C.

I just took a test today for Calc three, and the question was the double integral of e^y^2 bounded by some region. And I don’t know why he put this on the DAMN TEST

JrPlays

Teacher: The test won't be that hard
The test:

Sokobansolver

How this man is smiling, while integrating

robind

The integral in the homework: e^(-2x)
The integral in the exam:

scito

The thumbnail looks like it says Sex².
Tee hee I'm immature, but that is funny.

merbst

For the sin and sinh functions:
sin(i*x) = i*sinh(x)
Similarly:
erf(i*x) = i*erfi(x)
erfi could be like a hyperbolic erf function - erfh?

pauljackson

Hey BlackpenRedPen i want more interesting problems in complex numbers.❤️

karthikrambhatla

Hey Steve, love your videos. Stay awesome!

shukailu

I have a challenge:
Can you solve the "wrong convolution rule" equation?
Or find f and g that satisfy it and f, g≠0
integral(f*g) = integral(f)*integral(g) where * is convolution

ClevelandLemur

It just comes to mind I will try it by using integration by parts.

techwithaman

So to solve S ex squared. U and i have to work together. So i can end Up with my x?

schenkov

please do the derivative of the error function

vasilisr

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