Lesson 40: The Definite Integral

Approximate the area of the region bounded by the graph of the function and the
x-axis over the indicated interval. Calculate left- and right-hand sums for n = 4
subdivisions. Draw a sketch that illustrates the approximating sums.

Approximate the area of the region bounded by the graph of the function and the
x-axis over the indicated interval. Calculate left- and right-hand sums for the
indicated number of subdivisions. Compare your estimate with the exact area of
the region, found using known geometric formulas.

A calculator program would come in handy here ... huh?
Let's try that problem again ...
PROGRAM: RSUM
:Input \"LEFT:\", A
:Input \"RIGHT:\",B
:Input \"X CHOICE:\", C
:Input \"NUMBER:\", N
:(B-A)/N→H
:0→S
:For(I,1,N)
:A+(I-1+C)H→X
:S+Y1(X)H→S
:End
:Disp \"SUM = \",S
:Stop