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Calculate double integral

Evaluate ∬ f(x,y) dA over a rectangle for simple polynomials.

Also known as: calculate double integral calculator, double integral calculator, calculate double integral, calculus math, calculus calculate double integral

Inputs

Results update when you click Integrate.

∬ f dA

1.000000

Exact: 1.000000

f(x,y) = 1.0000x + 1.0000y + 0.0000

Domain

VariableRange
x0.0000 to 1.0000
y0.0000 to 1.0000
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What this result means

Evaluate ∬ f(x,y) dA over a rectangle for simple polynomials. Midpoint Riemann sum over rectangle; exact shown for affine f.

Assumptions

  • Rule dependency: Universal formula.

Method

Midpoint Riemann sum over rectangle; exact shown for affine f.

Example

∬(x + y) dA on [0,1]×[0,1] = 1.

Frequently asked questions

Non-rectangular?+

This MVP uses rectangular domains only.