Final answer:
The question involves evaluating an integral as an infinite series, which may require simplifying the integral by substitution, using symmetries, or applying integration by parts.
Step-by-step explanation:
The student is asking for help in evaluating a mathematical integral represented in an infinite series. The process involves converting the integral over a complex function, possibly along a specific path such as a curve, to an integral over a single variable. This simplification can utilize a substitution that relates one variable to another, such as expressing x in terms of y or vice versa. The chosen variable might be influenced by the ease of integration, as certain functions can be more complex to integrate, for example when involving square roots or fractional exponents.
Moreover, the integration process may involve techniques like the method of integration by parts, or using geometric or physical symmetries—such as the symmetry about a point O—to simplify the limits of integration or the integrand itself. Additionally, variables not given in the integral may be eliminated through mathematical manipulation to simplify the expression further, making the calculation feasible.