Subintervals

Definition

Subintervals divide an interval into smaller sections or subdivisions for numerical approximation methods like Riemann Sums. In this case, we divide the interval from 1 to 6 into 5 equal subintervals.

Related terms

Partition: A partition refers to dividing an interval into any number of subintervals.

Width/Length of Subinterval: The width or length of each subinterval represents the distance between its endpoints. It determines how fine-grained our approximation will be.

Midpoint Rule: The midpoint rule is a method for numerical approximation of integrals that uses the midpoints of each subinterval to estimate the area under the curve.