plot or animate an approximation to an integral - Maple Programming Help

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Student[Calculus1][ApproximateIntTutor] - plot or animate an approximation to an integral

Calling Sequence

ApproximateIntTutor(f, a..b)

ApproximateIntTutor(f, var=a..b)

Parameters

f

-

(optional) algebraic expression in one variable var

a..b

-

(optional) interval

var

-

(optional) variable

Description

• 

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.

  

If f is not specified, ApproximateIntTutor uses a default function.

  

If a..b is not specified, ApproximateIntTutor uses a default interval.

  

If var is not specified, ApproximateIntTutor uses a default variable.

• 

Any of the following methods can be used in the approximation:

  

-   Riemann sums using left, right, upper, lower, midpoint, or random points

  

-   Trapezoidal rule

  

-   Simpson's rule or Simpson's 3/8 rule

  

-   Boole's rule (sometimes known as Bode's rule)

  

-   Newton-Cotes' formula

Examples

withStudent[Calculus1]:

ApproximateIntTutor

ApproximateIntTutorcosx

ApproximateIntTutorcosx,0..π2

ApproximateIntTutorcosx,x=0..π2

See Also

Student, Student[Calculus1], Student[Calculus1][ApproximateInt], Student[Calculus1][InteractiveOverview]


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