## Topic 13.4: Newton-Cotes Rules (HOWTO)

Introduction Notes Theory HOWTO Examples Engineering Error Questions Matlab Maple

# Problem

Given a function of one variable, f(x), find the integral of the curve on the interval [a, b].

None.

# Tools

We will use sampling and polynomial interpolation.

# Process

## Simpson's Rule

Given f(x), a, and b, let h = (ba)/2 and calculate

## Simpson's 3/8th Rule

Given f(x), a, and b, let h = (ba)/3 and calculate

## Bools's Rule

Given f(x), a, and b, let h = (ba)/4 and calculate

Due to a typo in a common reference, Boole's rule is mistakenly referred to as Bode's rule.