HP 40gs User Manual

Page 202

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14-20

Computer Algebra System (CAS)

Example

Given:

calculate a primitive of f.

Type:

Or, if you have stored f(x) in F, that is, if you have already
typed:

then type:

INTVX(F)

Or, if you have used

DEF to define f(x), that is, if you have

already typed:

then type:

INTVX(F(X))

The result in all cases is equivalent to:

You will obtain absolute values only in Rigorous mode.
(See “CAS modes” on page 14-5 for instructions on
setting and changing modes.)

Example

Calculate:

Typing:

f x

( )

x

x

2

1

–

-------------- LN x 1

+

x 1

–

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

⎝

⎠

⎛

⎞

+

=

NTVX

X

X

2

1

+

--------------- LN X 1

+

X 1

–

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

⎝

⎠

⎛

⎞

+

⎝

⎠

⎛

⎞

TORE

X

X

2

1

–

--------------- LN X 1

+

X 1

–

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

⎝

⎠

⎛

⎞ F

,

+

⎝

⎠

⎛

⎞

DEF(F(X)

X

X

2

1

–

--------------- LN X 1

+

X 1

–

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

⎝

⎠

⎛

⎞

⎠

⎞

+

=

X LN

X 1

+

X 1

–

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

⎝

⎠

⎛

⎞ 3

2

--- LN X 1

–

(

) 3

2

--- LN X 1

+

(

⋅

+

⋅

+

⋅

2

x

6

2

+

x

4

x

2

+

⋅

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

x

d

∫

hp40g+.book Page 20 Friday, December 9, 2005 1:03 AM

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