HP 40gs User Manual page 203

hp40g+.book Page 21 Friday, December 9, 2005 1:03 AM
N o t e
N O T E :
lim
Computer Algebra System (CAS)
2
⎛
--------------------------------------
NTVX
⎝
6 4
⋅
X + 2 X +
gives a primitive:
2 x
⋅ x ( ) -- - ------------- -
3 – atan – –
x 2
x +
X
∫
-------------------------------------- X
You can also type
6
X +
1
primitive which is zero for x = 1
2
⎛
⋅ x ( ) -- - ------------- -
3 – atan – –
⎝
x 2
x
Example
Calculate:
1
∫
-------------------------------------------- x d
x ( ) ( 2 x ⋅ )
sin + sin
Typing:
1
⎛
--------------------------------------------------- -
NTVX
⎝
SIN X ( )
+ SIN 2 X
gives the result:
1
⋅ ( X ( ) )
-- - LN
cos – 1 +
6
2 –
⋅ ( X ( )
----- - LN 2
cos + 1
3
If the argument to INTVX is the AND of two elements,
INTVX concerns itself only with the second element of the
AND, and adds the result to the first argument.
Calculate limits
LIMIT or lim has two arguments: an expression dependent
on a variable, and an equality (a variable = the value to
which you want to calculate the limit).
You can omit the name of the variable and the sign =,
when this name is in VX).
It is often preferable to use a quoted expression:
⎞
⎠
2
X
1
2
d
which gives the
4 2
⋅
2 X + X
3 π ⋅
x + 10
⎞
---------------------- -
+
⎠
4
+ 1
⎞
⎠
( ⋅ )
1
⋅ ( X ( ) )
-- - LN
cos + 1 +
2
)
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