HP 40gs - Manual (Page 301)

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
∫
=
2x 3 + 2 x 2 + ( ) 1 – = g x ( ) 2
1
x 2 +
------------ – =
g x ( ) x 2x 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