Asked by Destiny Padgett

How would you go about answering this question?
Consider the following points,
(0,52),(2,51), (4,48), (6,42), (8,29), (10,3)

Use this to estimate the integral
[0,10] ∫f(x)dx=

Answers

Answered by oobleck
Of course you can use Riemann sums. For example, the left sum would be (using ∆x = 2)
∫[0,10] f(x) dx = 2(f(0)+f(2)+f(4)+f(6)+f(8)) = 2(52+51+48+42+29) = 444
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