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10 cards from this deck
Cannot integrate analytically; experimental data only
Rectangles using y-value at strip centre
A=b−an(y1+y2+⋯+yn)A = \frac{b-a}{n}(y_1 + y_2 + \cdots + y_n)A=nb−a(y1+y2+⋯+yn)
d=b−and = \frac{b-a}{n}d=nb−a where [a,b][a,b][a,b] interval, nnn strips
Uses parabolic curves instead of rectangles
1-4-2-4-2-...-4-2-4-1
Requires even number of strips
d3[(y0+yn)+4(odd)+2(even)]\frac{d}{3}[(y_0+y_n) + 4(\text{odd}) + 2(\text{even})]3d[(y0+yn)+4(odd)+2(even)]
approximate−exactexact\frac{\text{approximate} - \text{exact}}{\text{exact}}exactapproximate−exact
Approximation underestimates exact value
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