Evaluate the Integral $$\int \frac { d x } { x ( 4 + 6 \ln x ) }$$

question 144

Multiple Choice

Evaluate the integral.
- $$\int \frac { d x } { x ( 4 + 6 \ln x ) }$$

• A) \(\frac { 1 } { 6 } \ln | 4 + 6 \ln x | + C\)
• B) \(\frac { 2 } { 3 } \ln | 4 + 6 \ln x | + C\)
• C) \(\frac { 1 } { 4 } \ln | 4 + 6 \ln x | + C\)
• D) \(\frac { 1 } { 6 } \ln | 6 + 4 \ln x | + C\)

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Definitions:

Desalination

The method of extracting salt and additional minerals from ocean water to create fresh water appropriate for drinking or agricultural watering.

Reverse Osmosis

A water purification method that forces water through a semipermeable membrane, removing contaminants.

Sustainable Water Use

The management and use of water resources in a way that meets current needs without compromising the ability of future generations to meet theirs.

Watershed Management

involves the planning, development, and conservation of water resources within a watershed, aiming to sustainably manage and use water resources while protecting the environment.