Evaluate the Integral by Using Multiple Substitutions $\int 3 \left( 3 x ^ { 2 } - 5 \right) \sin ^ { 5 } \left( x ^ { 3 } - 5 x \right) \cos \left( x ^ { 3 } - 5 x \right) d x$

question 1

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $\int 3 \left( 3 x ^ { 2 } - 5 \right) \sin ^ { 5 } \left( x ^ { 3 } - 5 x \right) \cos \left( x ^ { 3 } - 5 x \right) d x$

• A) \(15 \sin ^ { 4 } \left( x ^ { 3 } - 5 x \right) + C\)
• B) \(\frac { 1 } { 2 } \cos ^ { 6 } \left( 3 x ^ { 2 } \right) + C\)
• C) \(\frac { 1 } { 2 } \sin ^ { 6 } \left( x ^ { 3 } - 5 x \right) + C\)
• D) \(2 \sin ^ { 6 } \left( x ^ { 3 } - 5 x \right) + C\)

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