Question

Set up an integral for finding the Laplace transform of f(t) = t - 18 F(s) = L{f(t)} = integral^B_A e^(-st) * (t - 18)dt where A = 0 and B = INFINITY.

Answer 1

To find the Laplace transform of f(t) = t - 18, set up the integral using the given equation and solve using integration techniques.

Step-by-step explanation:

To find the Laplace transform of f(t) = t - 18, we can set up the integral using the given equation:

F(s) = L{f(t)} = ∫0∞ e(-st) * (t - 18) dt

Let A = 0 and B = ∞. The Laplace transform integral can be written as:

F(s) = ∫AB e(-st) * (t - 18) dt

We can now solve this integral using integration techniques, such as u-substitution or integration by parts.