Evaluate the Integral $\int x ^ { 3 } \ln 4 x d x$

question 37

Multiple Choice

Evaluate the integral.
- $\int x ^ { 3 } \ln 4 x d x$

• A) \(\frac { 1 } { 4 } x ^ { 4 } \ln 4 x - \frac { 1 } { 20 } x ^ { 5 } + C\)
• B) \(\frac { 1 } { 4 } x ^ { 4 } \ln 4 x - \frac { 1 } { 16 } x ^ { 4 } + C\)
• C) \(\frac { 1 } { 4 } x ^ { 4 } \ln 4 x + \frac { 1 } { 16 } x ^ { 4 } + C\)
• D) \(\ln 4 x - \frac { 1 } { 4 } x ^ { 4 } + C\)

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Definitions:

Net Income

The profit of a company after all expenses and taxes have been deducted from total revenue.

Perpetual Inventory System

An inventory management system where inventory levels are updated in real-time with each sale or purchase, providing a continuous record of inventory counts.

Periodic Inventory System

An inventory system that updates inventory balances after a set period by taking a physical inventory count.

First-In, First-Out (FIFO)

An inventory valuation method that assumes the first items placed into inventory are the first sold, affecting the cost of goods sold and inventory value.