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

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.

Calculus

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.

Key differences

	Definite Integral Calculator	Rectangular Rule Integration
Category	Calculus	Calculus
Inputs required	4	4
Result	Integral Value	Approximate Integral
What it does	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.	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.