Integral of the Error Function

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Integral of the error function, integral of erf(x),
#erf(x) #TheErrorFunction #XmasColors
Integral of the integral of e^(-x^2)

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blackpenredpen | 曹老師

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The function is a non-elementary integral, but the integral of the function is itself expressed in terms of the function... Somehow that is as satisfying as the Christmas colors

goliathcleric

I just want to say that I started tutoring calculus and am using your way of explaining things, using multi color markers help out a lot!

weird

Calculus is freaking awesome. I love this

FourthDerivative

1:20 thats all i needed thank you so much

dhoom-z

if you wanna get some bounds, use changing the oreder of integration.

aashsyed

I tried to integrate this after I saw the initial video on the erf function. I was surprised on how easy it was. Just integration by parts into a solvable integral. Please more videos on non elementary functions! I loved your video on the Gamma function and I love your videos on the Error Function

crosisbh

#YAY

What about Si(x), Ci(x) and Li(x)?

polaris_babylon

Can you do the integral of (e^x*x*sinx)dx
it's an interesting one

verz

Is it possible to calculate the variance of a normal distribution transformed by the integral of the Error Function?

Gogargoat

It’s like a complex number :D
We have an imaginary part ( non-elementary function ) and the real part ( the elementary function)😂

omarifady

damn, this was actually super easy, barely an inconvinience.

DerToasti

Very creative video (+1). Christmas is also fun.

jameswilson

Integration by differentiation, beautiful.

sethgrasse

Why did we disregard the lower bound t=0?

brianxx

[insert obligatory blackpenredpenbluepengreenpen joke]

Gold

That's so much easier than the way I tried...

caldersheagren

صراحة فهمتك واخا كتهضر بشينويا هههههههههههه واش غادير ماط مايخليكش تهضر غير بشينويا يخليك تهضر لغة الفضائيين ههههههه
thanks teacher

oussamaelamrani-lwkc

Hello! Can you please integrate 1/sqrt(1-x^4)?

damianstan

Is that function you get at the end derf(x)?

JoshuaHillerup

¿A esta integral se le puede llamar la Integral Gaussiana? ¿Si no es así, como se resuelve la integral de la película "Gifted"?

pizarronjcperez

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