HP 40gs User Manual page 202

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