Computer Fundamentals And Programming2D
Numerical Methods - Theory & Concepts - Numerical Integration
An introduction to numerical methods for solving engineering problems: root finding, linear systems, integration, ODEs, and error analysis.
Open the complete lessonNumerical Integration Simulator: f(x) = sin(x) + 2
Actual Area (Analytic):
21.8391
Approximate Area:
13.8453
Absolute Error:
7.99375
Notice how the error decreases as you increase the number of segments ($n$). Simpson's 1/3 rule generally provides a more accurate approximation than the Trapezoidal rule for the same number of segments by using parabolic arcs instead of straight lines.