Express the Integrand as a Sum of Partial Fractions and Evaluate

question 297

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { x ^ { 3 } } { x ^ { 2 } + 4 x + 4 } d x$$

• A) \(\frac { x ^ { 2 } } { 2 } - 4 x + 12 \ln | x + 2 | + \frac { 8 } { x + 2 } + C\)
• B) \(\frac { x ^ { 2 } } { 2 } - 4 x + 6 \ln | x + 2 | - \frac { 4 } { x + 2 } + C\)
• C) \(12 \ln | x - 4 | + \frac { 12 } { x + 2 } - \frac { 8 } { ( x + 2 ) ^ { 2 } } + C\)
• D) \(\frac { x ^ { 2 } } { 2 } - 4 x - 12 \ln | x + 2 | + \frac { 8 } { ( x + 2 ) ^ { 2 } } + C\)

Understand the importance and methods of securing software applications and data against malicious attacks.

Comprehend the role and impact of various programming languages and development tools in creating software.

Grasp the process of developing, prototyping, and testing applications to meet user requirements.

Understand the principles of digital animation and the differences between various animation techniques.

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