CPM Homework Help : CALC Problem 6-51

Midpoint rectangles have their height defined at the midpoint of the interval. For the function graphed below, you previously found the heights to be f(1.5) ≈ 0.821, f(2.5) ≈ 0.449, f(3.5) ≈ 0.814. Homework Help ✎
1. Approximate A(f, 1 ≤ x ≤ 4) using midpoint rectangles.
2. Find the exact area and compare it with your approximation.

Hint (a):

There are only three rectangles.
No need to use sigma notation.

Hint (a):

Just find the area of each rectangle and add. Be sure to organize your work in a way that others will understand your process.

Hint (b):

Find the exact area using a definite integral.