Let and Compute the Riemann Sum of F Over

question 193

Essay

Let and compute the Riemann sum of f over the interval , choosing the representative points to be the midpoints of the subintervals, using:
Two subintervals of equal length ( ).
__________ sq units
Five subintervals of equal length ( ).
__________ sq units
Ten subintervals of equal length ( ).
__________ sq units
Can you guess at the area of the region under the graph of f on the interval ? __________sq units

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Definitions:

Working Backwards

is a problem-solving strategy that involves starting with the goal and sequentially planning the steps in reverse to reach the starting point.

Heuristics

Mental shortcuts or rules of thumb that simplify decision making, but can sometimes lead to cognitive biases.

Mnemonic Devices

Techniques a person can use to help them improve their ability to remember something, often by associating it with something more familiar or patterning.

Cognitive Shortcuts

Heuristic methods or simple strategies used by the human mind to make decisions or solve problems quickly.