Find the Indefinite Integral $$\int x ^ { - 2 / 3 } \sqrt { x ^ { 1 / 3 } - 2 } d x$$

question 160

Multiple Choice

Find the indefinite integral.
$$\int x ^ { - 2 / 3 } \sqrt { x ^ { 1 / 3 } - 2 } d x$$

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

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Definitions:

Functional Currency

The currency of the primary economic environment in which an entity operates, and in which it typically generates and expends cash.

Parent's Cash Flows

The cash inflows and outflows directly associated with the primary operating entity in a group of companies or conglomerate.

AASB 121

Refers to the Australian Accounting Standards Board provision dealing with the effects of changes in foreign exchange rates.

Exchange Differences

Variance arising from translating foreign currency transactions or foreign operations into the reporting currency.