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10 cards from this deck
Limit of sum of areas of rectangles under a curve
Area under curve y=f(x)y=f(x)y=f(x) over interval [a,b][a,b][a,b]
Delta x = rac{b-a}{n}
Sn=sumi=1nf(xi∗)DeltaxS_n = sum_{i=1}^n f(x_i^*) Delta xSn=sumi=1nf(xi∗)Deltax
Better approximation of area under curve
intabf(x)dx=limnoinftysumi=1nf(xi∗)Deltaxint_a^b f(x)dx = lim_{n o infty} sum_{i=1}^n f(x_i^*) Delta xintabf(x)dx=limnoinftysumi=1nf(xi∗)Deltax
Left endpoint of each subinterval
Right endpoint of each subinterval
Midpoint of each subinterval
Trapezoids rather than rectangles
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