Use a Table of Integrals to Evaluate the Integral $$\int x ^ { 3 } \sin \left( x ^ { 2 } + 3 \right) d x$$

question 25

Multiple Choice

Use a table of integrals to evaluate the integral.
$$\int x ^ { 3 } \sin \left( x ^ { 2 } + 3 \right) d x$$

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

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