# calculus

posted by
**Courtney**
.

Approximate the area in the first quadrant between the x-axis, the y-axis, the line x = 3, and the function f(x) = x^2+1

For this approximation, you must use 6 rectangles of equal width, and this must be a lower sum. In your answer, you must include letters a-d below:

a. The width of your rectangles

b. The six areas, one for each rectangle, written as a sum (for example, you might write 2 + 3 + 4.5 + 6 + 6.5 + 8)

c. The total area you approximated

d. Answer this: is your approximation greater than, exactly equal to, or less than the true area?