How can I use a Laplace Transform if the bound is ln(2)???

[@the.lemon.linguist]

i still can't even begin to comprehend how some people think of these solitons

[@owl3math]

Hi Lemon. Yes it’s a nice method!

[@doronezri1043]

Excellent👏👏👏 Almost what I meant... Will send a slightly modified version by email 🍻

[@owl3math]

Nice thanks! Had a feeling your way could be a little different :)

[@slavinojunepri7648]

Excellent

[@owl3math]

thanks Slavino!

[@o0QuAdSh0t0o]

Unit step function feels like Dirac delta function?

[@owl3math]

closely related. Unit step function is the integral of dirac delta or dirac delta can be considered like a derivative of the step function.

[@maxvangulik1988]

u=e^x
du/u=dx
I=int[1,2](ln(u)/u^3)du
U=ln(u)
dv=du/u^3
dU=du/u
v=-1/2u^2
I=-ln(2)/8+1/2•int[1,2](u^-3)du
I=-ln(2)/8+3/16

[@adandap]

Cool. You could also namnyeF it by noting that the target integral is - d/da Int[ e^(-a x)].

[@owl3math]

Yep good point! You could namnify it