Approximate $\int _ { 0 } ^ { 3 } x ^ { 2 } d x$

question 48

Short Answer

Approximate $\int _ { 0 } ^ { 3 } x ^ { 2 } d x$ ; n = 4, by (a) the trapezoidal rule, (b) the midpoint rule, and (c) then find the exact value of the integral.
Enter just a, b, c where a and b are real numbers to two decimal places (rounded off), and c is an integer, all separated by commas and answering (a), (b), (c) in order but unlabeled.

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Definitions:

Psychoanalytic

Psychoanalytic refers to a set of theories and therapeutic techniques related to the study of the unconscious mind, which were developed by Sigmund Freud.

Unconscious

The part of the mind that is inaccessible to the conscious mind but that affects behavior and emotions.

Blindsight

The ability of people who are cortically blind due to lesions in their striate cortex to respond to visual stimuli that they do not consciously see.

Dissociation

A psychological process where certain thoughts, emotions, sensations, or memories are separated from the rest of the psyche.