Use the Sixth-Degree Taylor Polynomial Centered at Zero for the Function

question 53

Multiple Choice

Use the sixth-degree Taylor polynomial centered at zero for the function $f ( x ) = \frac { 1 } { \sqrt { 1 + x ^ { 2 } } }$ to approximate the integral $\int _ { 0 } ^ { 2 / 3 } \frac { 1 } { \sqrt { 1 + x ^ { 2 } } }$ . Round your answer to nearest ten thousandth.

• A)0.6222
• B)0.6322
• C)0.8772
• D)0.6272
• E)0.3772

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