Find the Coefficient Of $x ^ { 5 }$ In the Maclaurin Series For

question 10

Multiple Choice

Find the coefficient of $x ^ { 5 }$ in the Maclaurin series for $f ( x ) = \int \cos \left( x ^ { 2 } \right) d x$ .Note: The series is unique except for the constant of integration.

• A) \(- \frac { 1 } { 10 }\)
• B) \(\frac { 1 } { 15 }\)
• C) \(- \frac { 1 } { 5 }\)
• D) \(\frac { 2 } { 5 }\)
• E) \(- \frac { 2 } { 5 }\)
• F) \(- \frac { 1 } { 15 }\)
• G) \(\frac { 1 } { 5 }\)
• H) \(\frac { 1 } { 10 }\)

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