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 i^{2}= n(n+1) (2n+1)/6
Σ i^{3}=(n(n+1)/2)^{2}
Example 1:
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