Summary Riemann Sums (Calculus) - Detailed Notes - Grade 12 Mathematics

AP Mathematics - Notes
Riemann Sums


Content:
Riemann Sums:
1.1 Simple Definition of Riemann Sums
1.2 Important Representations
1.3 Important Series Notes
1.4 Steps for Riemann Sums
1.5 Example 1 and Example 2
1.6 Additional Important Notes


1.1 Riemann Sums
The process of finding the area under a graph using an infinite number of rectangles.


1.2 Important Representations




𝑏 – represents the upper bound of the graph
𝑎 – represents the lower bound of the graph




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, Length
𝑓ሺ𝑥𝑖 ሻ 𝑥 – value of
bottom right
corner 𝑎 + 𝑖∆𝑥𝑖




𝑏−𝑎
Width - ∆𝑥𝑖 =
𝑛




1.3 Important Series Notes


(1)




(2)




(3)




(4)




(5)




(6)




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