Lesson 3-- More Riemann Sums
- Go over HW-- HW test next time
- show trapezoids do better
- Use upper and lower - relate to a circle-- y =sqrt(1-x^2)
Homework
- Use the upper and lower limits for ReimannSum to show how
they approach the definite integral of
- sin(x) from -pi/2 to pi/2
- what happens when the function is negative
- e^(-x^2) from 0 to 1.
- how about from 0 to 2, 0 to 3, 0 to 10
- you may need more Digits
- what is happening
- 1/x from .5 to 1
- how about .1 to 1, .01 to 1, .001 to 1
- what is happening
