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

question 176

Multiple Choice

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

• A) \(\frac { 1 } { 2 } \ln | \mathrm { t } - 3 | - \frac { 1 } { 2 } \ln | \mathrm { t } - 1 | + \mathrm { C }\)
• B) \(\frac { 1 } { 2 } \ln | \sin t - 3 | + \frac { 1 } { 2 } \ln | \sin t - 1 | + C\)
• C) \(\frac { 1 } { 2 } \ln | \sin t - 3 | - \frac { 1 } { 2 } \ln | \sin t - 1 | + C\)
• D) \(\ln | \sin t - 3 | - \ln | \sin t - 1 | + C\)

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