As always your help is greatly appriciated!
Approximate the integral $\displaystyle \int_{0}^{1}x^4dx ; n =6$, by
a.) first applying Simpson's Rule and
b.) then applying the trapezoidal rule
The arithmetic I am not going to do.Originally Posted by Yogi_Bear_79
Since $\displaystyle n$ is even so you can apply Simpons rule.
$\displaystyle \int_0^1 x^4 dx\approx$$\displaystyle \frac{1}{3}\big( (0)^4+4(1/6)^4+2(2/6)^4+$$\displaystyle 4(3/6)^4+2(4/6)^4+4(5/6)^4+(6/6)^4 \big) \frac{1}{6}$