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

Short Answer

Find the second Taylor polynomial of f(x) = sin $x ^ { 2 }$ at x = 0 and use it to approximate the area under the curve f(x) between 0 and $\frac { \pi } { 2 }$ .
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).