gipc said:How do I take it from here?
I have a hint- use binomial theorem.
Complex analysis is a branch of mathematics that deals with the study of functions of complex numbers. It involves using the properties of complex numbers, such as their magnitude and angle, to analyze and solve mathematical problems.
Complex analysis is used in integration to solve integrals that involve complex functions. It provides a powerful tool for evaluating integrals in cases where traditional methods may be difficult or impossible to use.
The Cauchy integral theorem is a fundamental concept in complex analysis that states that the integral of a complex function around a closed contour is equal to 0, provided that the function is analytic within the contour.
The residue theorem is a powerful tool in complex analysis that allows for the evaluation of certain types of integrals, called contour integrals, using the residues of a function. It states that the value of a contour integral is equal to the sum of the residues of the function inside the contour.
Complex analysis and integration have many practical applications in fields such as physics, engineering, and economics. Some examples include the calculation of electric potentials in electrical circuits, the analysis of fluid flow in aerodynamics, and the evaluation of complex integrals in financial mathematics.