Demonstrating the fundamental theorem of calculus, Problem 1, Procedure 1 – Texas Instruments TI-84 User Manual
Page 505: Demonstrating the fundamental theorem of
Chapter 17: Activities
502
Demonstrating the Fundamental Theorem of
Demonstrating the Fundamental Theorem of
Demonstrating the Fundamental Theorem of
Demonstrating the Fundamental Theorem of
Calculus
Calculus
Calculus
Calculus
Problem 1
Problem 1
Problem 1
Problem 1
Using the functions
fnInt(
and
nDeriv(
from the
MATH
menu to graph functions defined by
integrals and derivatives demonstrates graphically that:
and that
Procedure 1
Procedure 1
Procedure 1
Procedure 1
1.
Press
z. Select the default settings.
2.
Press
p. Set the viewing window.
3.
Press
o. Turn off all functions and stat plots. Enter the numerical integral of 1àT
from 1 to X and the function ln(X). Set the graph style for
Y1
to
ç (line) and
Y2
to
ë (path).
Xmin=.01
Xmax=10
Xscl=1
Ymin=
L
1.5
Ymax=2.5
Yscl=1
Xres=3
F x
( )
t
d
1
x
∫
x
( ) x 0
>
,
ln
=
=
Dx
1
t
--- t
d
1
x
∫
1
x
---
=