Texas Instruments TI-Nspire CAS User Manual (English)

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218 Symbols

∫() (integral)

Catalog >

Returns the integral of Expr1 with respect

to the variable Var from Lower to Upper.

Note: See also Definite or Indefinite integral

template, page 10.

Note: You can insert this function from the

keyboard by typing integral(...).

If Lower and Upper are omitted, returns an

anti-derivative. A symbolic constant of

integration is omitted unless you provide

the Constant argument.

Equally valid anti-derivatives might differ by

a numeric constant. Such a constant might

be disguised—particularly when an anti-

derivative contains logarithms or inverse

trigonometric functions. Moreover,

piecewise constant expressions are

sometimes added to make an anti-

derivative valid over a larger interval than

the usual formula.

∫() returns itself for pieces of Expr1 that it

cannot determine as an explicit finite

combination of its built-in functions and

operators.

When you provide Lower and Upper, an

attempt is made to locate any

discontinuities or discontinuous derivatives

in the interval Lower < Var < Upper and to

subdivide the interval at those places.

For the Auto setting of the Auto or

Approximate mode, numerical integration is

used where applicable when an anti-

derivative or a limit cannot be determined.

For the Approximate setting, numerical

integration is tried first, if applicable. Anti-

derivatives are sought only where such

numerical integration is inapplicable or

fails.

Note: To force an approximate result,

Handheld: Press / ·.

Windows®: Press Ctrl+Enter.

Macintosh®: Press “+Enter.

iPad®: Holdenter, and select .

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Texas Instruments TI-Nspire CAS Specifications

General

Type	Graphing
Cover	-
Form factor	Pocket
Control type	Buttons, Touch
Product color	Grey, Silver
Digits	- digits
Display tilting	No
Display resolution	320 x 240 pixels
Display number of lines	- lines
Compatible operating systems	Windows XP/2000\\r Mac OS X 10.4/10.5
Battery type	AAA
Power source	Battery
Number of batteries supported	4
USB port	Yes
USB 2.0 ports quantity	1
RAM capacity	16 MB
ROM capacity	20 MB