Answer the Question $\sin x ^ { 3 / 2 }$

question 140

Multiple Choice

Answer the question.
-Estimate the error if $\sin x ^ { 3 / 2 }$ is approximated by $x ^ { 3 / 2 } - \frac { x ^ { 9 / 2 } } { 3 ! }$ in the integral of $\int _ { 0 } ^ { 1 } \sin x ^ { 3 / 2 } d x$ .

• A) \(\frac { 1 } { 5 ! }\)
• B) \(\frac { 6 } { 17 \cdot 5 ! }\)
• C) \(\frac { 2 } { 17 \cdot 5 ! }\)
• D) \(\frac { 2 } { 15 \cdot 4 ! }\)

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