The integral Integrate 9t/ 1+ 81 t^2 dt can be rewritten as Integrate t/1+81 t^2 (9/162) dt. By substituation we have Integrate w (9/162) dw = 1/8 Integrate w dw = 18 In w. Writing this in terms of t we have 18 In (1 + t^2).

Solve the problem by making up an equation. a man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. how far from his house was his appointment?