Evaluate the Integral $$\int \frac { d x } { x \sqrt { 49 x ^ { 2 } - 16 } }$$

question 275

Multiple Choice

Evaluate the integral.
- $$\int \frac { d x } { x \sqrt { 49 x ^ { 2 } - 16 } }$$

• A) \(\frac { 7 } { 4 } \sec ^ { - 1 } \frac { 7 } { 4 } x + C\)
• B) \(\frac { 7 } { 4 } \sin ^ { - 1 } \frac { 7 } { 4 } x + C\)
• C) \(\frac { 1 } { 4 } \sec ^ { - 1 } \frac { 7 } { 4 } x + C\)
• D) \(\frac { 1 } { 7 } \sin ^ { - 1 } \frac { 7 } { 4 } x + C\)

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Definitions:

Firm's Output

The overall amount of products or services generated by a company over a specific timeframe.

Short Run

A period in economics during which the quantities of one or more production inputs cannot be changed, making some costs fixed.

Long Run

A period in economics during which all factors of production and costs are variable, allowing full adjustment to any change in the economic environment.

Break-Even Point

This is the point at which total revenues equal total costs, and the business or project makes neither a profit nor a loss.