Integrate by parts by considering the following: . Then, and . Hence,

(III.23)

Hence,

(III.24)

III.1.6 Final value theorem

The final value theorem allows one to compute the value that a function approaches as when its Laplace transform is known.

(III.25)

III.1.7 Initial value theorem

The Initial value theorem allows one to compute the value that a function approaches as when its Laplace transform is known.

(III.26)