Student[Calculus1][ApproximateIntTutor] - plot or animate an approximation to an integral
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Calling Sequence
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ApproximateIntTutor(f, a..b)
ApproximateIntTutor(f, var=a..b)
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Parameters
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f
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(optional) algebraic expression in one variable var
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a..b
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(optional) interval
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var
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(optional) variable
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Description
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The ApproximateIntTutor(f) command launches a tutor interface that computes, plots, and animates approximated definite integrals of f on the interval a..b. If f is an expression of the form Int(g, ...) or int(g, ...), the tutor computes, plots, and animates approximated definite integrals of g on the interval a..b.
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If f is not specified, ApproximateIntTutor uses a default function.
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If a..b is not specified, ApproximateIntTutor uses a default interval.
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If var is not specified, ApproximateIntTutor uses a default variable.
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Any of the following methods can be used in the approximation:
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- Riemann sums using left, right, upper, lower, midpoint, or random points
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- Simpson's rule or Simpson's 3/8 rule
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- Boole's rule (sometimes known as Bode's rule)
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