Risch Algorithm

The Risch Algorithm is a systematic method used in mathematics to determine whether a complex expression involving algebra, roots, and exponentials has a solution in terms of elementary functions like polynomials, exponentials, logarithms, and roots. It provides a step-by-step way to find and evaluate integrals or solutions in a consistent and predictable manner. Think of it as a precise recipe that tells mathematicians when and how a particular problem can be solved using standard, "simple" functions, helping to automate and clarify the process of integrating complicated mathematical expressions.