- #1
Jamin2112
- 986
- 12
Homework Statement
Find the Laplace transform of each of the following functions:
...
2. f(t)=eatcos(bt)
3. f(t)=tn, were n is a positive integer
Homework Equations
As you well know, taking the Laplace of f(t) means ∫f(t)e-stdt from 0 to ∞
The Attempt at a Solution
These problems are tripping me up, since integration by parts goes on forever.
∫eatcos(bt)e-stdt =
∫et(a-s)cos(bt)dt =
I suppose I should call et(a-s) "dv" (?)
----> v = t(a-s)/(a-s)
----> u = cos(bt)
----> du = -bsin(bt) dt
Still, I don't see where this gets me. Help, please!