Is there an application for, or an industry that needs repeated calculations of similar integrals?
Let me begin by explaining this a little. I began a little project, mostly for fun and learning, to "build" integrals. Suppose we have an integral consisting of elementary functions. The idea is, we can construct another integral from knowledge of the first one, using much less effort than would otherwise be required. So, for example, if we have:
we can quickly calculate another similar integral such as:
The idea is that there is a way to quickly "attach" products (of elementary functions, for example) to existing integrals with special preparations.
I'm wondering if there is any chance that a method like this has a use in the real world.
Again, the idea is mainly a way to quickly get a similar integral.