student(deprecated)/leftsum - Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : student(deprecated)/leftsum

student[leftsum] - numerical approximation to an integral

Calling Sequence

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

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

Parameters

f(x)

-

algebraic expression in x

x

-

variable of integration

a

-

left end of the interval

b

-

right end of the interval

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

• 

Four equal-sized intervals are used by default.

• 

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

• 

The command with(student,leftsum) 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:

leftsumxklnx,x=1..3

12i=031+12ikln1+12i

(1)

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

16i=011sin1+16i1+16i+sin1+16i

(2)

See Also

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


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam