The L(te-3t cos⁡(2t)cos⁡(3t)) is given by \(k\left [\frac{25-(s+3)^2}{((s+3)^2+25)^2} + \frac{(1-(s+3)^2)}{((s+3)^2+1)^2}\right ]\). Find the value of k.

The Laplace transform is a mathematical technique that converts a function of time into a function in the frequency domain. It is an integral transform that converts a function of a real variable to a function of a complex variable.