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10 questions from this quiz
Area under a curve over an interval
Δx=b−an\Delta x = \frac{b - a}{n}Δx=nb−a
It becomes a better approximation
∫abf(x)dx=limn→∞∑f(xi∗)Δx\int_a^b f(x) dx = \lim_{n \to \infty} \sum f(x_i^*) \Delta x∫abf(x)dx=limn→∞∑f(xi∗)Δx
Left endpoint of each subinterval
Right endpoint of each subinterval
Midpoint of each subinterval
Trapezoids
∑i=1ni2=n(n+1)(2n+1)6\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}∑i=1ni2=6n(n+1)(2n+1)
13\frac{1}{3}31
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