Question: The Laplace transform of a continuous function over the interval [ 0 , ) is defined by F ( s ) = 0 e -

The Laplace transform of a continuous function over the interval [0,) is defined by F(s)=0e-sxf(x)dx. This definition is used to solve some important initial-value problems in differential equations. The domain of F is the set of all real numbers s such that the improper integral converges. Find the Laplace transform F of the following function:
f(x)=cos(4x)
The Laplace transform of a continuous function

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