Evaluate the Integral $$\int x ^ { 7 } \sec x ^ { 8 } d x$$

question 53

Multiple Choice

Evaluate the integral. The integral may not require integration by parts.
- $$\int x ^ { 7 } \sec x ^ { 8 } d x$$

• A) \(8 \ln \left| \sec x ^ { 8 } - \tan x ^ { 8 } \right| + C\)
• B) \(x ^ { 9 } \sec x ^ { 9 } + C\)
• C) \(\frac { 1 } { 8 } \ln \left| \sec x ^ { 8 } + \tan x ^ { 8 } \right| + C\)
• D) \(\frac { 1 } { 7 } \ln \left| \sec x ^ { 8 } + \tan x ^ { 8 } \right| + C\)

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Definitions:

Average Rate

The average rate is a mean exchange rate over a specified period, used for accounting purposes to convert foreign currencies into the functional currency.

Foreign Exchange Gain

A profit resulting from changes in the exchange rate between the base currency and the foreign currency in which a transaction is denominated.

Exchange Loss

A financial loss that occurs when the value of a currency decreases relative to another currency in transactions involving foreign exchange.

Year End

The end of the financial year for a company, marking the close of the reporting period.