Integral trigonométrica usando Fórmula Integral de Cauchy

▼ IMPORTANT ▼ Solved example of a real variable integral solved by a complex variable technique, which consists of applying Cauchy Goursat's Theorem, which says that given an analytic function in a simple closed contour with positive (counterclockwise) orientation, the The integral can be calculated from the poles of the function (singularities, remainder theorem), using the Cauchy integral formula, applied to the singular points within the region delimited by the closed curve. We will see that in the case of an integral formed by sines and cosines in the interval 0 2pi, it can be transformed by means of a complex exponential substitution into another integral that is easier to solve. Everything explained step by step. #Integrals #Calculation #Analysis #VariableComplex ---------- ** IMPORTANT LINKS ** Complex Variable Course:    • Curso Completo de Variable Compleja (Cálcu...   Integral course:    • Curso Completo de Integrales - Cálculo Int...   Special Videos:    • Members-only videos   Mathematics Review Course (Pre-University)    • Curso de Repaso de Matemáticas   ---------- ** SEE ALL MY COURSES HERE **    / arquimedes1075   ---------- ** BIBLIOGRAPHY ** Complex Variable, Ruel V. Churchill Basic analysis of Complex Variable, Marsden and Hoffman Complex Analysis, Dennis G. Zill ---------- ** DONATIONS ** Paypal: https://www.paypal.com/cgi-bin/webscr... Channel memberships:    / @matefacilyt   Patreon:   / matefacil   ---------- ** MY OTHER CHANNELS AND SOCIAL NETWORKS ** Physics Channel:    / @matefacilfisica   Videogame Channel:    / @matefacily   Twitch:   / matefacil   MateFacil App: https://educup.io/apps/matefacil Facebook (Page):   / arquimedes1075   Twitter: @Matefacilx Instagram: @Matefacilx Discord:   / discord   ---------- #Matefacil #Matematicas #Math #tutorial #tutor #tutoriales #profesor ----