What do you notice about the area under
As x increases, the area increases as well. So the area function is always increasing.
But, at the beginning area increases at a greater rate than at the end.
Problem 6-84 suggests that we examine the natural logarithm function, y = ln(x).
Why or why not?
Use the eTool below to visualize the problem.
Click the link at right for the full version of the eTool: Calc 6-85 HW eTool