Estimate the Area Under the Graph Of $f ( x ) = x ^ { 2 } - 1$

question 19

Essay

Estimate the area under the graph of $f ( x ) = x ^ { 2 } - 1$ from $x = 1$ to $x = 5$ using
(a) four approximating rectangles and right endpoints.
(b) four approximating rectangles and left endpoints.
(c) eight approximating rectangles and right endpoints.

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Definitions:

Distributed Practice

Involves spreading learning sessions over time as opposed to cramming them into a short period, enhancing retention and mastery of material.

Deep Processing

A method of memory encoding that involves elaborative rehearsal, resulting in more meaningful analysis of information and better recall.

Implicit Memory

A memory form that assists in performing tasks better by leveraging past experiences, all without conscious recognition of such experiences.

Procedural Memory

A type of long-term memory involving how to perform different actions and skills, essentially memory of motor skills.