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Lineint

  

inert Form of Line Integral

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Lineint(f(x,y), x, y)

Lineint(f(x,y), x=x(t), y=y(t))

Lineint(f(x,y), x, y =a..b)

Lineint(f(x,y,z), x, y, z)

Parameters

f(x, y)

-

expression in x and y

a, b

-

(optional) lower and upper bounds

Description

• 

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

• 

This two-dimensional version of the procedure constructs a ``line integral'' of f(x,y) expressed respect to y. In general, the first variables are regarded as parameters of the last.

• 

Lineint uses an ``unevaluated'' form of Maple's int function, and only minor simplifications are performed.

• 

A range can be specified for the parameter, as in (z = a..b).

• 

Use value to force Lineint to evaluate like int.

• 

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

Examples

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

withstudent:

Lineintfx,y,x,y

∫fxy,yⅆⅆyxy2ⅆy

(1)

Lineintfx,y,x,y=2..4

∫24fxy,yⅆⅆyxy2ⅆy

(2)

Lineintfx,y,x=t,y=t2

∫ft,t2ⅆⅆtt2+ⅆⅆtt22ⅆt

(3)

Lineintfx,y,x,y,t=a..b

∫abfxt,ytⅆⅆtxt2+ⅆⅆtyt2ⅆt

(4)

See Also

Student

student(deprecated)[Doubleint]

student(deprecated)[Int]

student(deprecated)[Tripleint]

Student[VectorCalculus][LineInt]

value

 


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