**Q3: **

Consider a function whose graph is concave up on the interval .

The line that determines points and is the tangent line to over the midpoint of segment .

Which quadrilateral has the area given by , the trapezoidal rule estimate of the integral ?

Which quadrilateral has the area given by , the midpoint rule estimate of the integral ?

Why is Area Area?

What relationship can you deduce about the numbers ,
, and in the case where the graph is concave up?