Evaluate the Integral $$\int ( 2 x - 1 ) \ln ( 4 x ) d x$$

question 363

Multiple Choice

Evaluate the integral.
- $$\int ( 2 x - 1 ) \ln ( 4 x ) d x$$

• A) \(\left( x ^ { 2 } - x \right) \ln 4 x - \frac { x ^ { 2 } } { 2 } + 2 x + C\)
• B) \(\left( x ^ { 2 } - x \right) \ln 4 x - x ^ { 2 } + x + C\)
• C) \(\left( x ^ { 2 } - x \right) \ln 4 x - \frac { x ^ { 2 } } { 2 } + x + C\)
• D) \(\left( \frac { x ^ { 2 } } { 2 } - x \right) \ln 4 x - \frac { x ^ { 2 } } { 4 } + x + C\)

---

Definitions:

Justification

A reason, fact, circumstance, or explanation that validates or defends an action, decision, or belief.

Market Leader

A company or brand that has the highest sales or market share in a particular industry, sector, or market.

Monopolization

The act of acquiring or maintaining exclusive control over the supply or trade in a service or commodity, often considered illegal under anti-trust laws.

Market Share

represents the percentage of an industry's sales that is controlled by a particular company, indicating its strength in the market.