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:

Shoplifting

The act of stealing goods from a store, typically by concealing them in clothing or a personal bag.

Moratorium

A period of delay or suspension of an activity or a law, often used to refer to a stage of exploration in Erikson's theory of adolescent development.

Foreclosure

Erikson’s term for premature identity formation, which occurs when an adolescent adopts their parents’ or society’s roles and values wholesale, without questioning or analysis.

Adolescence-Limited Offender

denotes individuals who engage in criminal or antisocial behavior primarily during their teenage years, typically desisting as they enter adulthood.