Find the Integral Using an Appropriate Trigonometric Substitution $$\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 1 } } d x$$

question 153

Multiple Choice

Find the integral using an appropriate trigonometric substitution. Select the correct answer.
$$\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 1 } } d x$$

• A) \(\frac { 1 } { 3 } \left( x ^ { 2 } + 1 \right) ^ { 3 / 2 } \sqrt { x ^ { 2 } + 1 } + C\)
• B) \(\frac { 1 } { 3 } \left( x ^ { 2 } - 2 \right) \sqrt { x ^ { 2 } + 1 } + C\)
• C) \(\frac { 1 } { 3 } \left( x ^ { 2 } + 2 \right) \sqrt { x ^ { 2 } + 1 } + C\)
• D) \(\frac { 1 } { 3 } \left( x ^ { 2 } - 1 \right) ^ { 3 / 2 } \sqrt { x ^ { 2 } + 1 } + C\)

Comprehend the basics of purchasing power parity and its application in international finance.

Understand strategies for reducing long-run exposure risks in foreign exchange.

Apply the concept of forward rates in managing currency risk.

Understand the impact of currency exchange on the cost of international travel and business operations.

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Seasonal Indexes

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