HP 40gs, User Manual, Page: 301 / 444

Step-by-Step Examples 16-27
Solution 1
Start by defining the
following:
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:
.
Pressing yields the
result shown at the right:
Pressing again
yields:
Working by hand:
, so:
Then, integrating term by term between 0 and 2
produces:
that is, since :
g x
( )
2
1
x 2 +
------------
– =
I g x
( )
x d
0
2
∫
=
2 x 3 + 2 x 2 +
( )
1 – = g x
( )
2
1
x 2 +
------------
– =
g x
( )
x 2 x x 2 +
( )
ln –
[ ]
= d
0
2
∫
x 2 =
x 0 =
4 2 2 ln = ln
g x
( )
x 4 2 ln – = d
0
2
∫
hp40g+.book Page 27 Friday, December 9, 2005 1:03 AM