Example:

Find the integral of sin(x) with respect to x, at the point where x=y.

Command:

INT(SIN(X),X,Y)

 

 

 

 

 

 

 

 

 

Result:

-COS(Y)

 

 

 

 

 

 

 

 

 

See also:

INTVX, RISCH

 

 

 

 

 

 

 

 

 

INTEGER

 

 

 

 

 

 

 

 

 

 

Type:

Command

 

 

 

 

 

 

 

 

 

Description:

Displays a menu or list of CAS integer operations.

Access:

Catalog, …µ

 

 

 

 

 

 

 

 

 

Flags:

If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered list. If

 

the flag is set, displays the operations as a menu of function keys.

See also:

ALGB, ARIT, CONSTANTS, DIFF, EXP&LN, MAIN, MATHS, MATR, MODULAR,

 

POLYNOMIAL, REWRITE, TESTS, TRIGO

INTVX

 

 

 

 

 

 

 

 

 

 

Type:

Function

 

 

 

 

 

 

 

 

 

Description:

Finds the antiderivative of a function symbolically, with respect to the current default variable.

Access:

Calculus, !Öor PCALC or !ÖDERIV. & INTEG L

Input:

An expression.

 

 

 

 

 

 

 

 

 

Output:

The antiderivative of the expression.

 

 

 

 

 

 

Flags:

Exact mode must be set (flag –105 clear).

 

 

 

 

 

Numeric mode must not be set (flag –3 clear).

 

 

 

Radians mode must be set (flag –17 set).

 

 

 

 

 

Example:

Find the antiderivative of the following:

 

 

 

 

 

 

x2lnx

 

 

 

 

 

 

 

 

 

Command:

INTVX(X^2*LN(X))

 

 

 

 

 

 

 

 

 

Result:

1/3*X^3*LN(X)+(-1/9)*X^3

 

 

 

 

 

 

 

 

 

See also:

IBP, RISCH, PREVAL

 

 

 

 

 

 

 

 

 

INV

Analytic function

 

 

 

 

 

 

 

 

 

Type:

 

 

 

 

 

 

 

 

 

Description:

Inverse (1/x) Analytic Function: Returns the reciprocal or the matrix inverse.

 

For a complex argument (x, y), the inverse is the complex number:

 

 

 

x

 

 

 

–y

 

 

----------------,

----------------

 

x

2

+ y

2

x

2

+ y

2

 

 

 

 

 

 

 

 

Matrix arguments must be square (real or complex). The computed inverse matrix A-1satisfies A

 

× A-1= In, where In is the n × n identity matrix.

Access:

Y

 

 

 

 

 

 

 

 

 

Flags:

Numerical Results (–3)

 

 

 

 

 

 

 

 

 

Full Command and Function Reference 3-119