Evaluate the Integral $\int _ { 7 } ^ { 6 } - 24 x d x$

question 18

Multiple Choice

Evaluate the integral. $\int _ { 7 } ^ { 6 } - 24 x d x$
given,
$\int _ { 6 } ^ { 7 } x ^ { 3 } d x = \frac { 1105 } { 4 } ,$
$\begin{array} { l } 7 x ^ { 2 } d x = \frac { 127 } { 3 } \\6 \\\int x d x = \frac { 13 } { 2 } \\6 \\7 \\\int d x = 1 \\6\end{array}$

• A) \(- 156\)
• B) 156
• C) 1,016
• D) 24
• E) 6,630

---

Definitions:

Care

The provision of what is necessary for the health, welfare, maintenance, and protection of someone or something.

Injury

Physical harm or damage to a person's body caused by an accident or violence.

Strict Product Liability

A legal doctrine that holds sellers, distributors, or manufacturers liable for distributing or selling a defective product to a consumer.

Plaintiff

The party who initiates a lawsuit in court, alleging harm or injury by another party and seeking legal remedy.