Find the Most General Antiderivative of the Function $f ( x ) = \frac { 1 + 3 x } { x \sqrt { x } }$

question 184

Multiple Choice

Find the most general antiderivative of the function $f ( x ) = \frac { 1 + 3 x } { x \sqrt { x } }$ .

• A) \(x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C\)
• B) \(- 2 x ^ { \frac { - 1 } { 2 } } - 6 x ^ { \frac { 1 } { 2 } } + C\)
• C) \(- 2 x ^ { \frac { - 1 } { 2 } } + x ^ { \frac { 1 } { 2 } } + C\)
• D) \(- 2 x ^ { \frac { - 1 } { 2 } } + 3 x ^ { \frac { 1 } { 2 } } + C\)
• E) \(- 2 x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C\)
• F) \(3 \sqrt { x } + C\)
• G) \(2 x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C\)
• H) \(x + 6 \sqrt { x } + C\)

Understand how consumer preferences can influence market outcomes related to discrimination.

Analyze the role of human capital in explaining wage differences.

Recognize the difference between labor-market discrimination and pre-labor market discrimination.

Understand the challenges in measuring and understanding the extent of discrimination in labor markets.

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