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Rectangular Rule Integration

Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.

Lower Bound (a)

Upper Bound (b)

Number of Intervals (n)

Average Function Value

Calculus

Definite Integral Calculator

Numerically evaluates the definite integral of a power function ax^n over a specified interval. Choose from Simpson's Rule, Trapezoidal Rule, or the Midpoint Rectangle Method for your approximation.

Coefficient (a)

Exponent (n)

Lower Limit

Upper Limit

Number of Intervals

Integration Method

Key differences

	Rectangular Rule Integration	Definite Integral Calculator
Category	Calculus	Calculus
Inputs required	4	6
Result	Approximate Integral	Definite Integral
What it does	Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.	Numerically evaluates the definite integral of a power function ax^n over a specified interval. Choose from Simpson's Rule, Trapezoidal Rule, or the Midpoint Rectangle Method for your approximation.