Evaluating Integrals - Examples Part 1 - Using Infinite Rectangles

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In this video I go through an example in determine the area under a curve using Riemann summations and integral notation, which I introduced in my earlier video and you watch that in the video link below. I also allude to evaluating integrals using antiderivatives which you may be familiar to and are much easier in calculating integrals. I will go through those in my later videos since they will be based upon the infinite rectangles concept.


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Evaluating Integrals - Examples Part 1 - Using Infinite Rectangles

Evaluating Integrals Examples Part 1.jpg

Recall Earlier Theorems

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Example 1

(a) Evaluate the Riemann sum for f(x) = x3 – 6x taking the sample points to be right endpoints and a = 0, b = 3, and n = 6.

(b) Evaluate:

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Solution to Part (a):

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Solution to Part (b):

image.png

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Evaluating Integrals - Examples Part 1 - Using Infinite Rectangles | Ecency