Use Various Trigonometric Identities to Simplify the Expression Then Integrate $\int \sin ^ { 2 } \theta \cos 5 \theta d \theta$

question 44

Multiple Choice

Use various trigonometric identities to simplify the expression then integrate.
- $\int \sin ^ { 2 } \theta \cos 5 \theta d \theta$

• A) \(\frac { 1 } { 10 } \sin 5 \theta - \frac { 1 } { 4 } \sin 3 \theta - \frac { 1 } { 28 } \sin 7 \theta + C\)
• B) \(\frac { 1 } { 2 } \sin 5 \theta - \frac { 1 } { 4 } \sin 3 \theta - \frac { 1 } { 7 } \sin 7 \theta + C\)
• C) \(\frac { 1 } { 10 } \sin 3 \theta - \frac { 1 } { 4 } \sin 5 \theta - \frac { 1 } { 28 } \sin 7 \theta + C\)
• D) \(\frac { 1 } { 10 } \sin 5 \theta - \frac { 1 } { 4 } \sin 7 \theta - \frac { 1 } { 28 } \sin 3 \theta + C\)

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