CPM Homework Help : CALC3RD Problem 1-145

Cynthia began to draw midpoint rectangles to approximate the area under the curve for $−2 ≤ x ≤ 4$ given $f(x) = \frac { 1 } { 4 }x^3 −\frac { 1 } { 2 }x^2 − x + 3$ . Trace Cynthia’s graph and finish drawing the remaining four midpoint rectangles. Then, compute the estimated area.

Hint:

Make the remaining rectangles. Then calculate the areas of each rectangle and add them together to find $A(f, -2 ≤ x ≤ 4)$ .

More Help:

The width of all of the rectangles is $1$ .

Cubic curve, coming from lower left, turning in second & first quadrant, continuing up & right, & 2 vertical shaded bars, bottom edges on x axis, each with width of 1, starting at x = negative 2, with midpoint of top edge of each bar, on the curve.