Express the Integrand as a Sum of Partial Fractions and Evaluate

question 367

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { 6 x - 12 } { x ^ { 2 } - 4 x - 5 } d x$$

• A) \(3 \ln | x - 5 | + 3 \ln | x + 1 | + C\)
• B) \(4 \ln | x - 5 | - 3 \ln | x + 1 | + C\)
• C) \(\ln | 3 ( x - 5 ) + 3 ( x + 1 ) | + C\)
• D) \(3 \ln | x + 5 | + 3 \ln | x - 1 | + C\)

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Definitions:

Capital Investment

Funds invested in a business venture with the expectation of generating income or profit.

Close Corporation

A corporation whose shares of stock and managerial control are closely held by fewer than 50 shareholders (often members of the same family) or by one person.

Shareholders

Individuals or entities that own shares in a corporation, giving them certain rights such as voting on corporate matters.

No Par Value

Shares issued without a nominal or stated value per share, with the market price determined by demand.