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:
∫>== xxxdtxF 10),(ln)( and that
x
dt
t
Dx x1
1
1=
∫
Procedure 1
1. Press z. Select the default settings.
2. Press p. Set the viewing window.
Xmin=.01 Ymin=M1.5 Xres=3
Xmax=10 Ymax=2.5
Xscl=1 Yscl=1