The Program Sum; The Program Nintg - Texas Instruments TI-83 Manual

and ENTER . A graph of y = x
terval [0, 1] together with the rectangles associated with
the right-hand sums.
Press ENTER and the value of the right-hand sum
is given. Press ENTER and a graph of y = x
pears on the interval [0, 1] together with the rectangles
associated with the left-hand sums.
Press ENTER and the value of the left- and righthand
sums is given.
Press ENTER again and another n is requested, and
so on.

The Program SUM

The program SUM finds the left- and right-hand sums,
but does not draw the rectangles as done in the program
RECT. Use the program SUM to find the left and right-
hand sums for
Solution. First input Y
SUM. A lower limit (of integration) is requested. Press
the 0 key and the ENTER key. An upper limit (of
integration) is requested. Press the 1 key and the
2
appears on the in-
2
ap-
Pressing ENTER will start the program again.

The Program NINTG

The program NINTG graphs a numerical approxima-
tion to the integral
Use NINTG to graph an approximation to
Solution.
ing window to [ 2, 2] by [ 3, 3].
82 NINTG is a built-in function.
tion fnInt(.
fnInt(expression,variable,lower,upper).
keys
You will see the following.
45
1
2
x dx when n = 50.
0
ENTER key. Now N is requested. Press the keys 5
0 ENTER . Wait several seconds and you then see
Section 6.5 in Text
• NINTG
• NINT
x
f (x) dx on a prescribed interval.
a
First set the dimensions of the view-
This function requires you to fill in
Y = MATH 9 X,T,θ
,
X,T,θ )
2
= x . Execute the program
1
x
2
t
0
On the TI-
Use the func-
So press the
∧ 2 ,
X,T,θ
dt.
,
0