Evaluate the Integral $\int \frac { 4 x + 3 } { e ^ { 7 x } } \mathrm {~d} x$

question 4

Multiple Choice

Evaluate the integral. $\int \frac { 4 x + 3 } { e ^ { 7 x } } \mathrm {~d} x$

• A) \(- \frac { 28 x + 25 } { 7 e ^ { 7 x } } + C\)
• B) \(- \frac { 28 x - 25 } { 49 e ^ { 7 x } } + C\)
• C) \(- \frac { 28 x + 25 } { 49 e ^ { 7 x } } + C\)
• D) \(- \frac { 28 x - 25 } { 7 e ^ { 7 \mathrm { x } } } + C\)
• E) \(- \frac { 28 x + 25 } { 49 x ^ { 2 } e ^ { 7 x } } + C\)

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Definitions:

Lawrence, Massachusetts

A city in Massachusetts known for its significant role in the American labor movement and textile industry.

Child Labor

The employment of children in an industry or business, especially when illegal or considered exploitative, prevalent during the Industrial Revolution and still a concern in many countries.

Textile Mills

Factories for the production of textiles, or cloth materials, often seen as the backbone of the industrial revolution.

White Supremacy

An ideology that holds white people as superior to those of all other races, advocating for the social, political, and economic dominance of whites.