Let A(x) = f(t)dt, with f(x) as in figure. 2 1.8- -2 0.5 8 A(x) has a local minimum on (0,6) at x=. A(x) has a local maximum on (0,6) at x=. Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are semicircles. 1.0 4.0 -1 a) f4f(x) dx= b) fo2f(x)dx=- c) f2f(x)dx=- d) f14f(x) | dx=- Problem 8. (1 point) Let G(x) be a differentiable function on the interval [0, 1] with a continuous derivative. Suppose that Problem 9. (1 point) Evaluate the indefinite integral. G(1)=5 and S G(x) dx = 5. Find xG (x)dx. Answer: xG'(x) dx = Answer(s) submitted: no response submitted: (incorrect) recorded: (incorrect) Answer: Answer(s) submitted: no response submitted: (incorrect) recorded: (incorrect) Problem 10. (1 point) Evaluate the integral xarctan(6x)dx +C 4cos (x) tan (x) dx Note: Use an upper-case "C" for the constant of integration.