Evaluate the Integral $$\int \frac { - \sin t ( 3 \cos t + 4 ) d t } { \cos ^ { 2 } t - 4 \cos t + 4 }$$

question 372

Multiple Choice

Evaluate the integral.
- $$\int \frac { - \sin t ( 3 \cos t + 4 ) d t } { \cos ^ { 2 } t - 4 \cos t + 4 }$$

• A) \(4 \ln | \cos t - 2 | - \frac { 6 } { \cos t - 2 } + C\)
• B) \(3 \ln | t - 2 | - \frac { 10 } { t - 2 } + C\)
• C) \(3 \ln | \cos t - 2 | + \frac { 10 } { \cos t - 2 } + C\)
• D) \(3 \ln | \cos t - 2 | - \frac { 10 } { \cos t - 2 } + C\)

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