Find the Integral Using the Indicated Substitution $$\int ( 4 x + 3 ) ^ { 6 } d x , \quad u = 4 x + 3$$

question 120

Multiple Choice

Find the integral using the indicated substitution.
$$\int ( 4 x + 3 ) ^ { 6 } d x , \quad u = 4 x + 3$$

• A) \(\frac { 1 } { 28 } ( 4 x + 3 ) ^ { 7 } + C\)
• B) \(6 ( 4 x + 3 ) ^ { 7 } + C\)
• C) \(\frac { 1 } { 6 } ( 4 x + 3 ) ^ { 7 } + C\)
• D) \(\frac { 1 } { 7 } ( 4 x + 3 ) ^ { 7 } + C\)

---

Definitions:

White-Collar Crime

Non-violent crime committed by individuals or corporations in the course of their professional lives, often involving fraud or theft.

RICO Act

The Racketeer Influenced and Corrupt Organizations Act, a federal law designed to combat organized crime in the United States by enabling extended penalties for acts performed as part of a criminal organization.

Probable Cause

A reasonable basis for believing that a crime may have been committed, necessary for certain legal actions like search warrants.

First Appearance

The initial appearance of an arrested individual before a judge who determines whether there was probable cause for the arrest. If the judge ascertains that probable cause did not exist, the individual is freed.