Demonstrating The Fundamental Theorem Of Calculus - Texas Instruments TI-84 Plus Manual Book

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
integrals and derivatives demonstrates graphically that:
x
∫
F x ( )
= t d =
1
x
1
∫
-- - t d
Dx =
t
1
Procedure 1 Procedure 1
Procedure 1 Procedure 1
1. Press z. Select the default settings.
2. Press p. Set the viewing window.
Xmin=.01
Xmax=10
Xscl=1
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
ë (path).
Chapter 17: Activities
and
fnInt( nDeriv(
x ( ) x >
and that
ln , 0
1
-- -
x
L
Ymin= 1.5
Ymax=2.5
Yscl=1
from the menu to graph functions defined by
MATH
Xres=3
to ç (line) and
Y1 Y2
to
502