Use two rectangles of equal width to estimate the area

Question

Use two rectangles of equal width to estimate the area between the graph of f(x) = x − cos(πx) and the x-axis on the interval [1, 5]. Evaluate the function at the mid-point of each rectangle to find each height.

 8 

12 

16 

20

Answer 1

Here is the Desmos graph used to create the picture in the video.

desmos.com/calculator/8ok5wkmysg