Operation Manual

Applications 14-19
8214APPS.DOC TI-82, Chapter 14, English Bob Fedorisko Revised: 02/09/01 9:27 AM Printed:
02/09/01 12:43 PM Page 19 of 20
Problem 2
Explore the functions defined by
y =
.
2
x
t
2
dt,
0
x
t
2
dt, and
2
x
t
2
dt
Procedure 2
1. Press
o
. Turn off all functions. On the TI
.
82, the three functions above
can be defined simultaneously using a list.
Y
5
=fnInt(T
2
,T,{
M
2,0,2},X)
2. Press
z
. Select
Sequential
.
3. Press
q
6
to select
ZStandard
.
4. Press
r
. Notice that the functions appear identical, but shifted
vertically by a constant.
5. Press
o
. Enter the numerical derivative of
Y
5
.
Y
6
=nDeriv(Y
5
,X,X)
6. Press
r
. Notice that although the three graphs defined by
Y
5
are
unique, they share the same derivative.