Chapter 21, Problem 11P

(a)

To determine

To calculate: The integral of the following tabula data with the help of trapezoidal rule,

$\begin{array}{llllllll}x\hfill & -2\hfill & 0\hfill & 2\hfill & 4\hfill & 6\hfill & 8\hfill & 10\hfill \\ f\left(x\right)\hfill & 35\hfill & 5\hfill & -10\hfill & 2\hfill & 5\hfill & 3\hfill & 20\hfill \end{array}$

(b)

To determine

To calculate: The integral of the following tabula data with the help of Simpson’s rule,

$\begin{array}{llllllll}x\hfill & -2\hfill & 0\hfill & 2\hfill & 4\hfill & 6\hfill & 8\hfill & 10\hfill \\ f\left(x\right)\hfill & 35\hfill & 5\hfill & -10\hfill & 2\hfill & 5\hfill & 3\hfill & 20\hfill \end{array}$