Evaluate the Integral by Making a Substitution (Possibly Trigonometric) and Then

question 89

Multiple Choice

Evaluate the integral by making a substitution (possibly trigonometric) and then applying a reduction formula.
- $$\int _ { 0 } ^ { 1 } 5 \sqrt { x ^ { 2 } + 1 } d x$$

• A) \(\frac { 5 } { 2 } [ \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) ]\)
• B) \(5 [ \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) ]\)
• C) \(\sqrt { 2 } + \ln ( \sqrt { 2 } + 1 )\)
• D) \(5 [ \sqrt { 2 } - \ln ( \sqrt { 2 } + 1 ) ]\)

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Definitions:

Human Needs

Fundamental requirements necessary for individual well-being, including physiological, safety, love/belonging, esteem, and self-actualization needs as described by Abraham Maslow.

Self-Fulfilling Prophecy

A prediction that directly or indirectly causes itself to become true, due to positive feedback between belief and behavior.

McGregor

Refers to Douglas McGregor's Theory X and Theory Y, which describe two contrasting models of workforce motivation and management.

Theory X

Assumes people dislike work, lack ambition, are irresponsible and prefer to be led.