HP 40gs User Manual page 301

hp40g+.book Page 27 Friday, December 9, 2005 1:03 AM
Step-by-Step Examples
Solution 1
Start by defining the
1
g x ( )
----------- -
= 2 –
following:
x +
Now type
PROPFRAC(G(X)). Note
that PROPFRAC can be
found on the POLYNOMIAL
submenu of the MATH
menu.
Pressing yields the
result shown at the right.
Solution 2
Enter the integral:
2
∫
g x ( ) x d
I =
.
0
Pressing yields the
result shown at the right:
Pressing again
yields:
Working by hand:
( ) 1
2x + 3 = 2 x + 2 –
, so:
Then, integrating term by term between 0 and 2
produces:
2
∫
g x ( ) x [ (
d = 2x – ln
0
ln 4 = 2 2 ln
that is, since
2
∫
g x ( ) x
d = 4 – ln 2
0
2
1
g x ( )
----------- -
= 2 –
x + 2
x = 2
) ]
x + 2
x = 0
:
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