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Find the Second Taylor Polynomial of F(x) = Sin x2x ^ { 2 }

Question 16

Short Answer

Find the second Taylor polynomial of f(x) = sin x2x ^ { 2 } at x = 0 and use it to approximate the area under the curve f(x) between 0 and π2\frac { \pi } { 2 } .
Enter an unlabeled polynomial in x in standard form followed by a comma and then just a quotient representing the area (π in the numerator).

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