6:06 How do you sub in the bounds? ln(infinity) Idk if the integral formula works in this example bc the bounds are from infinity to x, not 0 to x. So I did it by writing out the Laplace expression, doing IBP like you did when making the formula, but then the first term doesn't cancel out completely when you sub x = 0. Then you get some Frullani integral and end up with the same answer of -ln(s+1)/s.
woah looking deep into it, i see why you would be sketchy about this. Honestly I just found this formula from a laplace table or a wiki somewhere. With WolframAlpha, it's also weird that it only works when its Ei(-x), not Ei(x).
6:06 How do you sub in the bounds? ln(infinity)
Idk if the integral formula works in this example bc the bounds are from infinity to x, not 0 to x. So I did it by writing out the Laplace expression, doing IBP like you did when making the formula, but then the first term doesn't cancel out completely when you sub x = 0. Then you get some Frullani integral and end up with the same answer of -ln(s+1)/s.
woah looking deep into it, i see why you would be sketchy about this. Honestly I just found this formula from a laplace table or a wiki somewhere.
With WolframAlpha, it's also weird that it only works when its Ei(-x), not Ei(x).
Do I have to know what Laplacian is and its basics before watching the Laplacian videos or have you explained it in the videos itself?
If youre talking about those physics differential laplacians with the upside-down triangle, dear god no.
@@Silver-cu5up Im talking about the extremely sexy “L” you make and call Laplacian (: