Look also at the results obtained with the CONVODE program, which is a huge Reduce solver for ODEs and PDEs available on-line.

Here are some scores of some CAS integrators on the test database created by Richard Fateman for his system TILU. On the 2145 integrals (both definite and indefinite), Maple V.3 can do 1841 of them with 0 error, 0 timeout. Maple V.4 can do 1869 of them with 23 errors during the integration and 2 timeouts (more than 3 minutes of computing time) for int(1/(A^2+cos(C*X)^2),X) and int(1/(B^2*cos(C*X)^2+1),X). MuPAD 1.2.2 can do 1002 of them with 125 errors during the integration and 20 timeouts.