Name:________________________ Date:________________________ AP Calculus BC Class Activity 7b: Integration of Exponential Functions Evaluate the following integrals: 6. Find the average value of the function on the interval [0, 4]. 7. Write an expression and find the area of the region bounded by the curve , the x-axis, and the lines x = ln 3 and x = ln 20. 8. Water is leaking from a broken water heater at a rate in gallons per minute of . Find the total amount of water that leaked from the water heater after 6 minutes. Assume the water heater held twenty gallons at the start. After two minutes of leaking the water heater pulled more in water at a rate of . Find the net change in the amount of water in the heater after 8 minutes.