Evaluate the Integral $$\int \left( e ^ { x } + e ^ { - x } \right) ^ { 2 } d x$$

question 50

Multiple Choice

Evaluate the integral.
- $$\int \left( e ^ { x } + e ^ { - x } \right) ^ { 2 } d x$$

• A) \(\frac { 1 } { 2 } \left( e ^ { 2 x } + e ^ { - 2 x } \right) + C\)
• B) \(\frac { 1 } { 2 } \left( e ^ { 2 x } - e ^ { - 2 x } \right) + C\)
• C) \(\frac { 1 } { 2 } \left( e ^ { 2 x } - e ^ { - 2 x } \right) + 2 x + C\)
• D) \(\frac { 1 } { 2 } \left( e ^ { 2 x } + e ^ { - 2 x } \right) + 2 x + C\)

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Definitions:

Grains

Refers to small, hard seeds, especially the seeds of plants such as wheat, corn, oats, barley that are used for food.

Price-Elastic

describes a market condition where the demand for a product changes significantly in response to a change in its price.

Consumer Spending

The total expenditures by households on goods and services, which is a primary component of aggregate demand in an economy.

Increase

A rise in quantity or quality in a given context, such as price, value, or productivity.