Double Integral Calculator

Use our free double integral calculator to compute the double integral of f(x,y) over a rectangular region [a,b]×[c,d] using 2D Simpson's rule.

Math

f(x, y) =

x lower (a)

x upper (b)

y lower (c)

y upper (d)

x partitions

y partitions

Formula

Compute double integrals over rectangular regions using 2D Simpson's rule (iterated Simpson in both dimensions). Suitable for smooth functions over [a,b]×[c,d].

∬_R f(x,y) dA = ∫_c^d ∫_a^b f(x,y) dx dy

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter f(x,y) using x and y variables.
2Set x and y bounds.
3Optionally adjust partition counts.
4Click Calculate.

Examples

∬ xy over [0,1]×[0,1]

1.∫₀¹ ∫₀¹ xy dx dy = (½)(½) = ¼ = 0.25

Result: 0.25

∬ 1 over [0,1]×[0,1]

1.Area of region = 1

Result: 1

Frequently Asked Questions

The integral of a function over a 2D region.

2D Simpson's rule — composite in both x and y.

Rectangular regions [a,b]×[c,d].

x and y.

Good accuracy for smooth functions; increase partitions for better results.

Related Calculators

Integral Calculator Definite Integral Calculator Partial Derivative Calculator Derivative Calculator Percentage Calculator Basic Calculator

CalculateMe Team

Last updated: 2026-07-14

Double Integral Calculator

Formula

How It Works

Examples

∬ xy over [0,1]×[0,1]

∬ 1 over [0,1]×[0,1]

Frequently Asked Questions

What is a double integral?

What method is used?

What region is supported?

What variables can I use?

What accuracy to expect?

Related Calculators

Double Integral Calculator

Formula

How It Works

Examples

∬ xy over [0,1]×[0,1]

∬ 1 over [0,1]×[0,1]

Frequently Asked Questions

What is a double integral?

What method is used?

What region is supported?

What variables can I use?

What accuracy to expect?

Related Calculators