Calculator User Manual

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

∫

x() x 0>,ln==

---

∫

---=