6.1 Reimann Sums

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Last updated 4:13 AM on 2/4/26
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10 Terms

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<p>Notation?</p>

Notation?

A is left value, B is right value; x2 is f(x), dx=Δx (interval)

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formula

Δx (values)

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trapezoidal sums

0.5(interval)(first line + 2 (second)…+last) → 2x because in the first trapezoid AND second one, etc, etc.

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Analytical Left-Side (table)

Add intervals but use all but last number

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Analytical Right-Side (table)

Add intervals but use all but first number

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Analytical middle

use middle parts of each interval

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When doing a word problem

Make sure to use dimensional analysis and label!

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If intervals are different…

Multiply respective interval by value

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If asked to find an average over an interval

use sum and then divide by total time over interval

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Trapezoidal sums - how to decide on table?

Each interval integrates 1 previous value