The definite integral $M(a)\coloneq \frac{4}{\pi}\int_{0}^{\pi /2}\frac{x^{2}dx}{x^{2}+\text{ln}^{2}(2e^{-a}\text{cos}x)}$ is related to the Laplace transform of the ...
Integrals are considered which can be transformed into the Laplace integral $\[{F_\lambda }\left( z \right) = \frac{1}{{\Gamma \left( \lambda \right)}}\int\limits_0 ...
Most people who deal with electronics have heard of the Fourier transform. That mathematical process makes it possible for computers to analyze sound, video, and it also offers critical math insights ...