Evaluate the Integral Using the Given Substitution $$\int 15 ( 5 x - 7 ) ^ { - 5 } d x , \quad u = 5 x - 7$$

question 66

Multiple Choice

Evaluate the integral using the given substitution.
- $$\int 15 ( 5 x - 7 ) ^ { - 5 } d x , \quad u = 5 x - 7$$

• A) \(( 5 x - 7 ) ^ { - 4 } + C\)
• B) \(- \frac { 3 } { 2 } ( 5 x - 7 ) ^ { - 4 } + C\)
• C) \(- \frac { 1 } { 2 } ( 5 x - 7 ) ^ { - 6 } + C\)
• D) \(- \frac { 3 } { 4 } ( 5 x - 7 ) ^ { - 4 } + C\)

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Definitions:

Stage Theories

Psychological theories that describe human development and behavior as occurring in distinct stages, each with its own characteristics.

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The extent to which a behavior, action, or intervention is successful in achieving the desired outcome in a given context.

Stages Of Change

A component of the Transtheoretical Model that describes the phases individuals go through in modifying behavior.