4. Complex integration: Cauchy integral theorem and Cauchy integral formulas Definite integral of a complex-valued function of a real variable Consider a complex valued function f(t) of a real variable t: f(t) = u(t) + iv(t), which is assumed to be a piecewise continuous function defined in the closed interval a ≤ t ≤ b.
Video. Video using these slides. Talk transcript. One of the classical applications of integration is using it to determine the area underneath the graph of a function, often referred to as finding the area under a curve.
Integration of Trigonometric Integrals. Integration is a way of adding slices to find the whole. Integration can be used to find areas, volumes, central points and. many useful things.