Evaluate the Integral $\int _ { 0 } ^ { 1 } x ^ { 2 } ( x + 2 ) ^ { 2 } \mathrm {~d} x$

question 81

Multiple Choice

Evaluate the integral. $\int _ { 0 } ^ { 1 } x ^ { 2 } ( x + 2 ) ^ { 2 } \mathrm {~d} x$

• A) \(- \frac { 253 } { 60 }\)
• B) \(\frac { 38 } { 15 }\)
• C) \(\frac { 38 } { 5 }\)
• D) \(\frac { 38 } { 3 }\)
• E) \(\frac { 481 } { 30 }\)

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Definitions:

Unconditioned Response

An automatic reaction to a stimulus that occurs naturally without any prior learning.

Operant Conditioning

A method of learning that employs rewards and punishments for behavior, which increases or decreases the likelihood of the behavior being repeated, as conceptualized by B.F. Skinner.

Reinforcer

A reinforcer is any stimulus that strengthens or increases the probability of a specific response or behavior by providing a desirable consequence or outcome.

Punisher

An unfavorable consequence or penalty intended to reduce the occurrence of an unwanted behavior.