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Unformatted text preview: Area under curves
Consider the curve y = f(x) for x ∈ [a, b] The actual area under the curve is 83.60 units2 . The approximate area is the sum of areas of trapezoidal strips. Number of strips: y
y = f( x ) 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
Approximate area: 0 a bx 83.53 83.52 83.51 83.50 83.49 83.47 83.46 83.43 83.41 83.37 83.33 83.26 83.18 83.05 82.86 82.55 82.00 80.85 77.79 63.59 units2 Area under curves
As the number of strips, n, becomes large, the approximate area approaches the actual area under the curve. The actual area under the curve is 83.60 units2. The approximate area with 20 trapezoidal strips is 83.53 units2. y
y = f( x ) 0 a bx ...
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This note was uploaded on 04/12/2011 for the course MATH 2180 taught by Professor Staff during the Spring '11 term at North Texas.
 Spring '11
 staff
 Math

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