Evaluate the Integral $\int _ { 3 } ^ { 4 } \left( 24 x ^ { 2 } - 1 \right) d x$

question 66

Multiple Choice

Evaluate the integral. $\int _ { 3 } ^ { 4 } \left( 24 x ^ { 2 } - 1 \right) d x$
given,
$\int _ { 3 } ^ { 4 } x ^ { 3 } d x = \frac { 175 } { 4 }$
$\int _ { 3 } ^ { 4 } x ^ { 2 } d x = \frac { 37 } { 3 }$
$\int _ { 3 } ^ { 4 } x d x = \frac { 7 } { 2 }$
4 $\int _ { 3 } ^ { 4 } d x = 1$

• A) 84
• B) 1074
• C) 8
• D) 1346
• E) 295

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Definitions:

Stimulus

Any object, event, or change in the environment that elicits a sensory or behavioral response.

Higher-Order Conditioning

A process in classical conditioning where a conditioned stimulus is paired with a new neutral stimulus, creating a second (often weaker) conditioned response.

Reinforcer

Any stimulus that strengthens or increases the probability of a specific response or behavior by being delivered or removed after the behavior occurs.

Punisher

In behavioral psychology, any stimulus that decreases the likelihood of a behavior being repeated.