Riemann approximation introduction (6:44) Approximate the area of the region under the curve 
bounded by 
and 
.- Over and under estimation on Riemann sums (4:00) The graph of
is given. Consider the left and right Riemann sums that would approximate the area under 
between 
and 
. Are the approximations underestimations or overestimations? - Worked example: finding a Riemann sum using a table. (6:38) Given a table of values of a function, find a Riemann sum of that function.
- * Practice: Left and right Riemann sums. (4 problems)
- Worked example: over and underestimation of Riemann sums. (4:41) Ordering different areas from least to greatest.
- * Practice: Over and underestimation of Riemann sums. (4 problems)
- Midpoint sums (5:28) Approximate the area under the curve
bounded by 
and using three rectangles of equal width.
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