Exercises: 2 5x+7 1. Verify, by adding the terms on the right, that 5x+7 3 dx. (x+1)(x+2) and find S x+1 x+2 (x+1)(x+2) 2. Find S x2+3x-1 x-+3x-1 B x(x+1)(x+2) dx where x(x+1)(x+2) 3. Evaluate each of the following integrals involving rational functions. You may use a CAS to find the partial fraction decomposition of the integrand, but you should evaluate the integral of the resulting function without the assistance of technology. x-+2x+5 a. x(x2-4) dx b. dx x2-1 4x-+3x+2 C. dx x2(x+1) x2-1 d. dx x(x2+4) 4. Use the substitution u = vx - 1 to find J 1 dx. xvx-1