Evaluate the Integral by Making a Substitution and Then Using $$\int \frac { \cos \theta } { \sin \theta \sqrt { 49 + \sin ^ { 2 } \theta } } d \theta$$

question 265

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- $$\int \frac { \cos \theta } { \sin \theta \sqrt { 49 + \sin ^ { 2 } \theta } } d \theta$$

• A) \(- \frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + \sin ^ { 2 } \theta } } { \sin \theta } \right| + C\)
• B) \(- \frac { 1 } { 7 } \ln \left| \frac { 7 \cos \theta + \sqrt { 49 + \sin ^ { 2 } \theta } } { \sin \theta } \right| + C\)
• C) \(- \frac { 1 } { 7 } \ln \left| \frac { 7 - \sqrt { 49 + \sin ^ { 2 } \theta } } { \sin \theta } \right| + C\)
• D) \(- \frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + \sin ^ { 2 } \theta } } { \sin \theta \cos \theta } \right| + C\)

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