1. Solve this integral using substitution. Clearly label your substitution. (5) 14x cos(7x - 4)dx 2. Solve this integral using substitution. Clearly label your substitution. (5) 7+x dx - 4 3. Solve this integral using substitution. Clearly label your substitution. (5) 1 xe 7 +4 dx 4. Solve this initial value problem with initial condition f(0) = 6. (6) df dx = 32 6x53x - 7x 2 5. Solve this initial value problem with initial condition f(0) = 1. (6) df = x x dx 6. Solve this initial value problem with initial condition f(3) = 1. (6) df dx = f X 7. Consider these three differential equations. (6) dg dx df dx _ = f 9+1 dh = h+2 dx Asymptotically, are the functions f. g and h of the same order? Do the terms +1 and +2 make the functions g and h grow substantially faster? (6)