SEAMIC_Integrals: Integration by parts III

In this video Integration by Parts is used to solve a product of two functions, x times sine of x. The process involves applying the Integration by Parts formula repeatedly, switching between exponential and trigonometric functions. The second integral that appears is also solved using Integration by Parts, creating a cycle where the same integral is obtained. To break this cycle, the integrals are treated as an equation, resulting in the final solution: one half of x times sine of x minus x times cosine of x. This video demonstrates how to manage the process of Integration by Parts when dealing with complex expressions that lead to cyclic integrals.