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

CalculusCalculus

Calculus

Problem 1
Problem 1Problem 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 1Procedure 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=L1.5
Ymax=2.5
Yscl=1
Xres=3
Fx() td
1
x
∫x() x0>,ln==
Dx 1
t
---td
1
x
∫1
x
---=