1. Approximating and
Computing Area
AP Calculus
Section 5.1

2. Approximating using
Rectangles

3. Right Endpoint Formula
• Approximating the area under a curve using the
right endpoint approximation

4. Left Endpoint Formula
• Approximating the area under a curve using the left
endpoint approximation

5. Midpoint Formula
𝑏− 𝑎
Δ𝑥 =
𝑁

6. Power Sums

7. Example Problem
• Find a formula and compute the area under the
curve using RN and the limit as N approaches ∞ for
the function:

8. Example Problem

9. Example Problem

10. Example Problem

11. Example Problem

12. Try This One
• Approximate the area under the curve of the
function
• Use N = 4 subintervals and left endpoints
• Use N = 4 and midpoints