# ElementaryFunctionDefiniteIntegration(R, F)¶

innerint(f, x, a, b, ignore?) should be local but conditional
integrate(f, x = a..b) returns the integral of f(x)dx from a to b. Error: if f has a pole for x between a and b.
integrate(f, x = a..b, "noPole") returns the integral of f(x)dx from a to b. If it is not possible to check whether f has a pole for x between a and b (because of parameters), then this function will assume that f has no such pole. Error: if f has a pole for x between a and b or if the last argument is not “noPole”.