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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

Compute the exact or approximate area under a polynomial curve between two bounds. Ideal for calculus students and engineers evaluating net change, area, or accumulated quantities.

Coefficient

Power of x

Lower Limit

Upper Limit

Key differences

	Rectangular Rule Integration	Definite Integral Calculator
Category	Calculus	Calculus
Inputs required	4	4
Result	Approximate Integral	Integral Value
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.	Compute the exact or approximate area under a polynomial curve between two bounds. Ideal for calculus students and engineers evaluating net change, area, or accumulated quantities.