Compare calculators

Both calculators run independently — change the inputs on either side to compare results.

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

Fill in the required fields to see your result.

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

Fill in the required fields to see your result.

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.