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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
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