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authorChristian Kolset <christian.kolset@gmail.com>2025-09-23 08:43:26 -0600
committerChristian Kolset <christian.kolset@gmail.com>2025-09-23 08:43:26 -0600
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-## Midpoint Method
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-## Trapezoidal Method
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-## Romberg Integration
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-## Gaussian Integration
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-## Simpson's Rule
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-### Simpsons 1/3
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-### Simpsons 3/8
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# Numerical Integration
## Why Numerical?
Integration is one of the fundamental tools in engineering analysis. Mechanical engineers frequently encounter integrals when computing work from force–displacement data, determining heat transfer from a time-dependent signal, or calculating lift and drag forces from pressure distributions over an airfoil. While some integrals can be evaluated analytically, most practical problems involve functions that are either too complex or are available only as experimental data. In engineering, numerical integration provides a systematic approach to approximate the integral of a function over a finite interval.