Integrate the Function $$\int \frac { d x } { \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } }$$

question 87

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } }$$

• A) \(\frac { x } { 4 \sqrt { 4 - x ^ { 2 } } } + \frac { \sqrt { 4 - x ^ { 2 } } } { x } + C\)
• B) \(\frac { x } { 4 \sqrt { 4 + x ^ { 2 } } } + C\)
• C) \(\frac { x } { 2 \sqrt { 4 + x ^ { 2 } } } + C\)
• D) \(\frac { 2 } { x \sqrt { 4 - x ^ { 2 } } } + C\)

Discuss the role of government in providing public goods and addressing income inequality through taxation and spending.

Examine the principles of taxation, including the benefits-received principle and the ability-to-pay principle.

Understand the significance of tax freedom day and the major sources of government revenue at different levels (local, state, federal).

Critically assess the arguments for and against lotteries as a means of funding government services.

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