The expression
"product integral" is used informally for referring to any product-based counterpart of the usual sum-based
integral of
classical calculus. The first product integral was developed by the mathematician
Vito Volterra in 1887 to solve systems of
linear differential equations. (Please see "Type II" below.) Other examples of product integrals are the geometric integral ("Type I" below), the bigeometric integral, and some other integrals of non-Newtonian calculus.