Calculate (A) the Trapezoidal Approximation and (B) Simpson's Approximation To \int

Short Answer

Calculate (a) the trapezoidal approximation and (b) Simpson's approximation to $\int _ { a } ^ { b } f ( x ) d x$ where f is the tabulated function. $$\begin{array} { l } x \quad a = 0 \\\hline f ( x ) \quad 1 \\\hline\end{array}$$ $$\begin{array} { l l l l l l l l l l } 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 = b \\\hline 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11\end{array}$$ Enter your answers in that order as just unlabeled integers separated by a comma.