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Course: AP??/College Calculus AB?>?Unit 6
Lesson 2: Approximating areas with Riemann sums- Riemann approximation introduction
- Over- and under-estimation of Riemann sums
- Left & right Riemann sums
- Worked example: finding a Riemann sum using a table
- Left & right Riemann sums
- Worked example: over- and under-estimation of Riemann sums
- Over- and under-estimation of Riemann sums
- Midpoint sums
- Trapezoidal sums
- Understanding the trapezoidal rule
- Midpoint & trapezoidal sums
- Riemann sums review
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Midpoint & trapezoidal sums
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Problem
Approximate the area between the -axis and from to using a midpoint Riemann sum with equal subdivisions.
The approximate area is
Here's a sketch to help you visualize the area: