Find the Given Integral $$\int \frac { 2 \tan ^ { - 1 } 2 x } { 1 + 4 x ^ { 2 } } d x$$

question 4

Short Answer

Find the given integral. $$\int \frac { 2 \tan ^ { - 1 } 2 x } { 1 + 4 x ^ { 2 } } d x$$

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Definitions:

Consumer Surplus

The discrepancy between the aggregate amount consumers can and will pay for a product or service and the actual amount they pay.

Total Utility

The total satisfaction or benefit received by consuming a given total quantity of a good or service.

Marginal Utility

The additional utility derived from consuming one more unit of some good or service.

Consumer Surplus

The difference between the amount consumers are willing to pay for a good or service versus what they actually pay.