Problem:
Use Riemann sums to approximate the area bounded by the graph of
f(x) = x
3
- 5x +7
the lines x = -2 and x = 3 and the x-axis. Use
N
left-hand endpoints for
N = 10
and
50
.
Visualization:
Using
Maple
:
f:=x->x^3-5*x+7;
with(student);
leftbox(f(x), x = -2..3, 10);
leftsum(f(x), x = -2..3, 10);
evalf(");
leftbox(f(x), x = -2..3, 50);
