LaPlace Transform Calculation

[Albert Chan]

(09-14-2021 09:16 PM)G. Cook Wrote:  integral of 0 to infinity of e^-s*t*sin(a*t)dt the answer comes back "undefined"

You need to give information about s, so that term e^(-s*t) is decaying

CAS> assume(s > 0)
CAS> int(e^(-s*t)*sin(a*t), t, 0, ∞)       → a/(a^2+s^2)