The distance between successive measurements in the trapezoidal rule is denoted by which variable?

In the context of the trapezoidal rule, the distance between successive measurements, also referred to as the width of each subinterval, is commonly represented by the variable 'h'. This variable is used to denote the spacing between the x-values at which the function is evaluated.

The trapezoidal rule approximates the area under a curve by dividing the interval into smaller segments and forming trapezoids based on the function's values at those points. The choice of 'h' signifies the uniform width of each trapezoid in the partition of the total interval, which is crucial for calculating the overall area accurately. The formulation of the trapezoidal rule incorporates this step size to ensure the approximation reflects the shape of the curve over that segment.

The other variables listed do not conventionally represent the distance between successive measurements in this context. Instead, they may refer to different parameters or concepts not directly related to the discrete intervals being discussed in the trapezoidal rule. Understanding that 'h' is the standard notation in numerical integration formulas helps solidify the conceptual framework of approximating areas under curves using the trapezoidal rule.