Use the Substitution Formula to Evaluate the Integral $$\int _ { 1 } ^ { 4 } \frac { 7 - \sqrt { x } } { \sqrt { x } } d x$$

question 172

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { 1 } ^ { 4 } \frac { 7 - \sqrt { x } } { \sqrt { x } } d x$$

• A) 11
• B) 22
• C) \(\frac { 11 } { 2 }\)
• D) \(- \frac { 11 } { 2 }\)

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Definitions:

Normal Distribution

A bell-shaped data distribution where most observations cluster around the central peak and the probabilities for values further away from the mean taper off equally in both directions.

Sample Proportion

The fraction or percentage of a sample that exhibits a particular trait or attribute.

Population Proportion

The percentage of individuals in a population who share a certain characteristic or attribute.

Expected Value

The expected value of a random variable is the long-run average value of repetitions of the experiment it represents.