### Home > CALC > Chapter 6 > Lesson 6.1.4 > Problem 6-51

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 ✎

Approximate

*A*(*f,*1 ≤*x*≤ 4) using midpoint rectangles.Find the exact area and compare it with your approximation.

There are only three rectangles.

No need to use sigma notation.

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

Find the exact area using a definite integral.