Textbook Problem

For each integral in Problems 7-12, do the following.

(a) Approximate its value using the Trapezoidal Rule.

(b) Approximate its value using Simpson’s Rule.

(c) Find its exact value by integration.

(d) State which approximation is more accurate. (Round each result to 2 decimal places.)

${\displaystyle \int \begin{array}{c}1\\ 0\end{array}{x}^{3}dx;n=4}$