HP 40gs User Manual page 202

hp40g+.book Page 20 Friday, December 9, 2005 1:03 AM
14-20
Example
Given:
x x
⎛
f x ( )
------------- - ----------- -
= + LN
⎝
x 1
2
x – 1
calculate a primitive of f.
Type:
X
⎛ ⎛
-------------- -
NTVX + LN
⎝ ⎝
2
X + 1
Or, if you have stored f(x) in F, that is, if you have already
typed:
X
⎛ ⎛
-------------- -
TORE + LN
⎝ ⎝
2
X – 1
then type:
INTVX(F)
Or, if you have used DEF to define f(x), that is, if you have
already typed:
X
-------------- -
DEF(F(X) = +
2
X – 1
then type:
INTVX(F(X))
The result in all cases is equivalent to:
X + 1 3
⎛ ⎞
⋅ ⋅
------------ - -- - LN X 1
X LN +
⎝ ⎠
X 1 – 2
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:
2
∫
-----------------------------------
x d
6 4 2
⋅
x + 2 x + x
Typing:
+ 1
⎞
⎠
–
X + 1
⎞ ⎞
------------ -
⎠ ⎠
X 1 –
X + 1
⎞ F , ⎞
------------ -
⎠ ⎠
X 1 –
X + 1
⎛ ⎞ ⎞
------------ -
LN
⎝ ⎠ ⎠
X 1 –
3
( ) ⋅ (
-- - LN X
– + + 1
2
Computer Algebra System (CAS)