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Notation?
A is left value, B is right value; x2 is f(x), dx=Δx (interval)
formula
Δx (values)
trapezoidal sums
0.5(interval)(first line + 2 (second)…+last) → 2x because in the first trapezoid AND second one, etc, etc.
Analytical Left-Side (table)
Add intervals but use all but last number
Analytical Right-Side (table)
Add intervals but use all but first number
Analytical middle
use middle parts of each interval
When doing a word problem
Make sure to use dimensional analysis and label!
If intervals are different…
Multiply respective interval by value
If asked to find an average over an interval
use sum and then divide by total time over interval
Trapezoidal sums - how to decide on table?
Each interval integrates 1 previous value