Integrals involving fractional powers
Maple has trouble with some integrals involving products of half-integer powers of linear terms. In some cases this produces an error message in Release 4:
Error, (in int) division by zero
In other cases the antiderivative is incorrect.
> simplify(diff(F2,x) - f2);
A work-around is to express the integrand as a single square root. Note that this is not quite equivalent to the original integrand (although it is when at least one of the linear terms is positive).
In general it is prudent to check the correctness of integrals, either by comparing definite integrals to their floating-point approximations or by comparing the derivative of an indefinite integral to the integrand.
See also: Errors in symbolic integration , Error: division by zero , int
Maple Advisor Database R. Israel, 1998