There are different applications in Engineering that require to compute improper integrals of the first kind (integrals defined on an unbounded domain) such as: the work required to move an object from the surface of the earth to infinity (Kynetic Energy), the electric potential created by a charged sphere, the probability density function or the cumulative distribution function in Probability Theory, the values of the Gamma (Γ) function (which is useful to compute the Beta (β) function used to compute trigonometric integrals), Laplace and Fourier Transforms (very useful for example in Differential Equations),. .. Therefore, these applications need to deal with the following types of improper integrals:
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