1. 7.2: Riemann Sums: Left & Right-hand Sums
Speak about how this is how riemann approached finding the area under the curve, or what we now call the integral. But this is only an approximation not an exact answer.

2. Today you’ll learn how to estimate the integral the same way Riemann approached it.
Left-Hand
Right-Hand
Use rectangles of base one to show the example. Left hand rule start from the beginning which is zero to 3 then rhr go the opposite way

3. Area of a Rectangle = (b)(h)
Would this be an over or under approximation?
Estimate the area under the curve using left-hand sum approximations from .5 to 3 with 5 rectangles

4. Would this be an over or under approximation?
Estimate the area under the curve using right-hand sum approximations from .5 to 3 with 5 rectangles
Would this be an over or under approximation?

5. Left-hand Rule
Right-hand Rule
How to find the base

6. Estimate the area under the curve of the the following function using 6 equal based rectangles.
from
Left-hand
Right-hand