Use a Table of Integrals to Evaluate the Integral $$\int x \sqrt { 3 + 3 x } d x$$

question 144

Multiple Choice

Use a table of integrals to evaluate the integral. Select the correct answer.
$$\int x \sqrt { 3 + 3 x } d x$$

• A) \(\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 1 ) ( x + 1 ) ^ { 3 / 2 } + C\)
• B) \(\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 2 ) ( x + 1 ) ^ { 3 / 2 } + C\)
• C) \(\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C\)
• D) \(\frac { 2 } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C\)

---

Definitions:

Units-of-Activity Method

A depreciation method that allocates a fixed asset's cost based on its usage, activities, or units of production, reflecting wear and tear more accurately.

Depreciation Expense

The allocation of the cost of a tangible asset over its useful life, reflecting the reduction of value due to wear and tear.

Operating Hours

The scheduled time during which a business or service is open to customers or operations are conducted.

Straight-Line Method

A depreciation method that allocates an equal amount of the depreciable cost of an asset to each year of the asset's useful life.