Problem 7.1. Suppose that f is R-integrable function. Using transla- tion and scaling invariance only, then find a, B, y, in termas of A, B, p, q such that .B (7.4) f(x) dx = a f(px +q) dx. B Problem 7.2. Using translation and scaling invariance only and Prob- lem 8.1 (linear substitution) and 2nd FTC, calculate the following in- tegrals: (1) So sin(3x + 1)dx. (2) JA cos(3x + 1)dx. (3) SP(3x + 1)51 dx. (4) SP V51(3x + 1)dx. (5) SP e3x+idx. m (6) SA(E vx)da. k=2 m (7) SA (E ()da. k=2