One way for computing the approximate area under a curve is by computing
the sum of the areas of the rectangles as shown in the diagram above.
Each rectangle has the same width and a length determined by the Y
value on the curve. Write an algorithm that reads in the number of
Y-data points, the width of each rectangle (W)
and then reads in all the Y-data points
(). The
algorithm should then iteratively compute the area of each rectangle
for each of the Y-data points and accumulate the total. After all
points have been processed the algorithm should print the total area.
1. Input N (the number of Y-data points)
2. Input W (width of each rectangle)
3. Input
4. Set total_area to 0
5. Set i to 1
6. While i < N do
7. Set area to W *
8. Set total_area to total_area + area
9. Set i to i + 1
10. Endwhile
11. Output total_area
12. Halt