OPTIONAL - 3.6 Numerical Integration
3.6.1 Approximate the value of a definite integral by using the midpoint and trapezoidal rules.
3.6.2 Determine the absolute and relative error in using a numerical integration technique.
3.6.3 Estimate the absolute and relative error using an error-bound formula.
3.6.4 Recognize when the midpoint and trapezoidal rules over- or underestimate the true value of an integral.
3.6.5 Use Simpson’s rule to approximate the value of a definite integral to a given accuracy.
Ex 1: Numerical Integration - The Midpoint Rule
Ex 2: Numerical Integration - The Midpoint Rule (Fractions)
Trapezoid Rule Error - Numerical Integration Approximation
Trapezoid Rule - Determine n for a Given Accuracy
Ex: Numerical Integration - The Trapezoid Rule
Ex 1: Numerical Integration - Simpson's Rule
Ex: Simpson's Rule Using a Table of Values
Ex 2: Estimate a Definite Integral Using Simpson's Rule (fractional subintervals)
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