> Sure there might be one off tricks to solve specific problems There is a widely applicable generic algorithm for indefinite integration (https://en.wikipedia

> Sure there might be one off tricks to solve specific problems There is a widely applicable generic algorithm for indefinite integration (https://en.wikipedia.org/wiki/Risch_algorithm https://en.wikipedia.org/wiki/Risch_algorithm). > but for integration these tend not to be useful in general. That is true. For many problems, simpler methods work. Also, according to that page “Currently, there is no known full implementation of the Risch algorithm”.