d esin x 1 - t2 5. Find the derivative dx 1 + to dt. 6. The speedometer on a car was observed at one-minute intervals. Estimate the total distance traveled by the car using five subintervals and the midpoint of each subinterval: t (min) 0 1 2 3 4 5 6 7 8 9 10 v (mi /hr) 40 42 45 49 52 54 56 57 57 55 56 7. If f' is continuous on [a, b], use Integration by Parts to show that f(x) f'(x) dx = (f (b) 2 - f ( a ) 2 ) a