Areas and Distances

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Areas and Distances

1. AREA

-Calculating area under the curve using Reimann Sum: dividing the area into rectangular strips. The more rectangular strips, the closer the approximation will be to the area.

-Width of the rectangles: Δx=b-a/n

Sigma notation (Σ) is used for summation of many terms

Sigma Notation: (c=constant)

Σc=nc

Σca= cΣa

Σ(a+b)=Σa+Σb

Σ(a-b)=Σa-Σb

Some formulas

Σ i= n(n+1)/2

Σ i²= n(n+1) (2n+1)/6

Σ i³=(n(n+1)/2)²

Example 1:

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