Step by step without a calculator

(a) g(x) = fo sin(t - 1)sint(t - 2)sin(t - 3)dt (b) g(x) = [cotz 72022 + 72022 dr 3. [20 Points] Evaluate the following definite integrals. (a) S Cost du sinc (b) So hadx 4. [16 Points Use a geometric argument to find the definite integral for f(x)dx where f(x) = 6 - 2x if r E [0, 4] x -6 ifre (4, 10]