Chapter 4.6, Problem 43E

Approximation of Pi In Exercises 43 and 44, use Simpson’s Rule with n = 6 to approximate π using the given equation. (In Section 5.7, you will be able to evaluate the integral using inverse trigonometric functions.)

$\pi ={\displaystyle {\int }_0^{1/2}\frac{6}{\sqrt{1-x^2}}dx}$