Elegant integral. Thanks for sharing

@owl3math

28 күн бұрын

Thanks!! 😀

hey man thanks for this interesting integral

@owl3math

Ай бұрын

Thanks! Glad you liked it 😀

Why @1:35 does the exponential in the integral of -inf to 0 become exp(-π(-x))? Isn' t the absolute value around the x and so even if its the negative half of the domain it should be positive x? Thanks

@owl3math

Ай бұрын

Hi Tom. This is because of the property |x| = -x when x < 0. So for example when x = -3 then |x| = 3. So yes it will still always return a positive value.

Interesting

@owl3math

Ай бұрын

thanks :)

im sorry, you handled this pretty clumsily. from 3:14 (and for petes sake the evenness symmetry doesn't take so much explanation), you should partition it along the integers. THEN you use the sub u = pi (x-n). that gets you to a better place than 9:39 in the video in 2 easy steps, given that |sin(x)| has period pi that recurring crappy integral e^x*sin(x)... never fricking humor your math prof by using integration by parts. e^x*sin(x) = im e^((i+i)*x), fast clean and painless.

2 minutes 🥶

@owl3math

Ай бұрын

Hi. Sorry, what happened? It got cold 2 minutes in?

@Namo_Amitabha2024

Ай бұрын

@@owl3math I mean I'd shiver if I'm asked to solve this within 2 minutes.

@owl3math

Ай бұрын

@@Namo_Amitabha2024 ah yes me too! Too much going on here! :)