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TI-83 Plus Activities 584

Demonstrating the Fundamental Theorem of

Calculus

Problem 1

Using the functions

fnInt(

and

nDeriv(

from the

MATH

menu to graph

functions defined by integrals and derivatives demonstrates graphically

that:

∫

>==

x

xxdtxF

1

0),(ln)(

and that

x

dt

t

Dx

x

1

1

1

=













∫

Procedure 1

1. Press

z

. Select the default settings.

2. Press

p

. Set the viewing window.

Xmin=.01 Ymin=

M

1.5 Xres=3

Xmax=10 Ymax=2.5

Xscl=1 Yscl=1