methodstrapezoidal
The "methodstrapezoidal" is a numerical integration technique used to approximate the definite integral of a function. It is a variation of the trapezoidal rule, which estimates the area under a curve by dividing it into trapezoids rather than rectangles. This method is particularly useful for functions that are not easily integrated analytically or when data points are obtained experimentally or through discretized measurements.
The core principle of the methodstrapezoidal involves partitioning the interval of integration into smaller subintervals. For
\[ \int_{x_0}^{x_n} f(x) \, dx \approx \frac{\Delta x}{2} \left[ f(x_0) + 2 \sum_{i=1}^{n-1} f(x_i) + f(x_n) \right] \]
where \(\Delta x\) is the uniform width of each subinterval. The methodstrapezoidal provides a better approximation
This technique is widely used in engineering, physics, and computational sciences for its simplicity and efficiency