6. For each of the following integrals involving rational functions, (1) use a CAS to find the partial fraction decomposition of the integrand; (2) evaluate the integral of the resulting function without the assistance of technology; (3) use a CAS to evaluate the original integral to test and compare your result in (2). a. x3+x+1 - dx 24 - 1 b. 25+x2 + 3 dx x3 - 6x2 + 11x -6 C . x2- x- 1 (2 - 3)3 dx 7. For each of the following integrals involving radical functions, (1) use an appropriate u-substitution along with Appendix A to evaluate the integral without the assistance of technology, and (2) use a CAS to evaluate the original integral to test and compare your result in (1). a. 1 dx xv9x2 + 25 d. tan(a) da V9 - cos2 (z)