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student[rightsum] - numerical approximation to an integral

Calling Sequence

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

rightsum(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 rectangles to use

Description

• 

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

• 

The function rightsum computes a numerical approximation to an integral using rectangles. The height of each rectangle (box) is determined by the value of the function at the right side of each interval.

• 

Four equal-sized intervals are used by default.

• 

A graph of the approximation can be obtained by the Maple procedure rightbox.

• 

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

Examples

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

withstudent:

rightsumxklnx,x=1..3

12i=141+12ikln1+12i

(1)

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

16i=112sin1+16i1+16i+sin1+16i

(2)

See Also

Student, student(deprecated)[leftbox], student(deprecated)[leftsum], student(deprecated)[middlebox], student(deprecated)[middlesum], student(deprecated)[rightbox], student(deprecated)[simpson], student(deprecated)[trapezoid], Student[Calculus1][RiemannSum], Student[Calculus1][RightRiemannSum], value


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