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

Riemann Sum Calculator

Approximate the definite integral of a power function f(x) = c·xⁿ over an interval using left, right, or midpoint Riemann sums. Use this to understand numerical integration and error in calculus courses.

Function Coefficient

Power of x

Lower Bound

Upper Bound

Number of Subintervals

Riemann Sum Method

Fill in the required fields to see your result.

Key differences

	Rectangular Rule Integration	Riemann Sum Calculator
Category	Calculus	Calculus
Inputs required	4	6
Result	Approximate Integral	Riemann Sum Approximation
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.	Approximate the definite integral of a power function f(x) = c·xⁿ over an interval using left, right, or midpoint Riemann sums. Use this to understand numerical integration and error in calculus courses.