Approximating and Computing Area

AP CalculusSection 5.1

Approximating using Rectangles

Right Endpoint Formula

• Approximating the area under a curve using the right endpoint approximation

Left Endpoint Formula• Approximating the area under a curve using the

left endpoint approximation

Midpoint Formula

Δ𝑥= 𝑏− 𝑎𝑁

Power Sums

Example Problem• Find a formula and compute the area under the

curve using RN and the limit as N approaches ∞ for the function:

Example Problem

Example Problem

Example Problem

Example Problem

Try This One• Approximate the area under the curve of the

function

• Use N = 4 subintervals and left endpoints

• Use N = 4 and midpoints