Use Integration by Parts to Establish a Reduction Formula for the Integral

question 173

Multiple Choice

Use integration by parts to establish a reduction formula for the integral.
- $$\int \tan ^ { n } x d x , n \neq 1$$

• A) \(\int \tan ^ { n } x d x = \frac { 1 } { n - 1 } \tan ^ { n - 1 } x - \int \tan ^ { n - 2 } x d x\)
• B) \(\int \tan ^ { n } x d x = \tan ^ { n - 1 } x - \frac { 1 } { n - 1 } \int \tan ^ { n - 2 } x d x\)
• C) \(\int \tan ^ { n } x d x = \frac { 1 } { n - 1 } \tan ^ { n - 2 } x - \int \tan ^ { n - 1 } x d x\)
• D) \(\int \tan ^ { n } x d x = \frac { 1 } { n - 1 } \tan ^ { n - 1 } x + \int \tan ^ { n - 1 } x d x\)

Recognize the adjustments required for consolidations, such as adjusting subsidiary's book values to fair values, and the consolidation entries related to these adjustments.

Understand the concept and accounting treatment of goodwill in a business combination.

Comprehend the consolidation process for intercompany transactions, including loans.

Analyze and compare the differences in accounting treatment for goodwill under U.S. GAAP and IFRS.

---

Definitions:

Legally Insane

A legal term indicating a person's inability to understand the nature of their actions or distinguish right from wrong due to mental illness.

Mental Disorder

A condition that affects a person's thinking, feeling, behavior, or mood, significantly impacting daily life and functioning.

Insanity Defense

A legal defense used in criminal trials arguing that the defendant was not responsible for their actions due to psychiatric illness at the time of the crime.

Criminals

Individuals who have committed acts that violate laws and are therefore subject to legal punishment.