Question

How do you calculate the area under a given curve using midpoints?

Answer 1

first of all if i want to find the midpoint between x=a and x=b
it is x=(a+b)/2

Answer 2

Okay

Answer 3

say we want to find the area under the curve y=x on the interval [0,4]
with 4 rectangles using midpoint rule
so the width of each rectangle is (4-0)/4=1