4. Compute the following integrals, or say if they diverge. For full credit: . If you use u-substitution, clearly state u, du, and dx. . If you use integration by parts, clearly state u, v, du, and du. . If the integral is improper, make sure any limiting arguments that you use are explicit. (a) (8 points) sin' (x) cos(x) dx. (c) (8 points)