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Course: Staging content lifeboat > Unit 11
Lesson 2: Integral calc staging- Density problems (integral calc)
- Integration graveyard
- Integration AP calculus practice
- Proper vs. Improper Integrals
- Average value (not done)
- (Not done) Worksheet: Riemann sums with net areas
- (Not done) Riemann sums
- (Not done) Riemann sums with sigma notation
- (Not done) Approximating area applications
- (Not done) Definite integral as the limit of a Riemann sum
- Worksheet: Functions defined by integrals challenge
- (Not done) Understanding the fundamental theorem of calculus
- Area using definite integrals
- (Not done) Total area using definite integrals
- (Almost done) Area under a rate function
- Area & net change: definite integrals
- Understanding the mean value theorem
- Average value from a graph
- Mean value theorem applications
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(Not done) Riemann sums
This article will eventually be an introduction to 3 specific kinds of Riemann sums - left, midpoint, and right. Right now, it only has a widget to visualize the three.
Drag the orange movable point along the slider to visualize the Riemann sums.
Todo: Add lines to outline the bars. Consider choosing different (strictly increasing and strictly decreasing) functions here, since these two are used in another worksheet.
At this time, the interactive widget does not allow us to shade under the curve.
Prompt students to think about whether left and right sums are overestimating or underestimating the area.
Comparing estimates with different numbers of intervals
This function is not used elsewhere. The interactive widget would benefit from bar outlines.