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student[trapezoid] - numerical approximation to an integral

Calling Sequence

trapezoid(f(x), x=a..b)

trapezoid(f(x), x=a..b, n)

Parameters

f(x)

-

algebraic expression in x

x

-

variable of integration

a

-

lower bound on the range of integration

b

-

upper bound on the range of integration

n

-

(optional) indicates the number of trapezoids to use

Description

• 

Important: The student package has been deprecated. Use the superseding command Student[Calculus1][ApproximateInt] instead.

• 

The function trapezoid computes a numerical approximation to an integral using the Trapezoidal rule. If symbolic arguments are given, an appropriate formula is generated.

• 

Four equal-sized intervals are used by default.

• 

The command with(student,trapezoid) allows the use of the abbreviated form of this command.

Examples

Important: The student package has been deprecated. Use the superseding command Student[Calculus1][ApproximateInt] instead.

withstudent:

trapezoidxklnx,x=1..3

12i=131+12ikln1+12i+143kln3

(1)

trapezoidsinxx+sinx,x=1..3,12

16sin1+16i=111sin1+16i1+16i+sin1+16i+13sin3

(2)

See Also

Student, student(deprecated)[leftbox], student(deprecated)[leftsum], student(deprecated)[middlesum], student(deprecated)[rightbox], student(deprecated)[rightsum], student(deprecated)[simpson], Student[Calculus1][ApproximateInt]


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