Determine the Integral by Making an Appropriate Substitution $\int \frac { \sin \theta \cos ^ { 2 } \theta } { 1 + \cos ^ { 3 } \theta }$

question 86

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int \frac { \sin \theta \cos ^ { 2 } \theta } { 1 + \cos ^ { 3 } \theta }$ dθ

• A) \(\frac { 1 } { 2 }\) \(\left( 1 + \cos ^ { 3 } \theta \right) ^ { 2 }\) + C
• B) - \(\frac { 1 } { 3 }\) ln \(\left| 1 + \cos ^ { 3 } \theta \right|\) + C
• C) \(\frac { 1 } { 2 }\) \(\left( \sin \theta \cos ^ { 2 } \theta \right) ^ { 2 }\) + C
• D) \(\sin ^ { 2 }\) θ \(\cos ^ { 2 }\) θ + C
• E) none of these

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