Calculus & Numerical Methods
Double Integral (rectangle)
∫∫ f(x,y) over a rectangle via midpoint rule.
Formula
Formula
∬ f dA
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| f | function of x, y | expression / text | x, y | input |
| a,b | x-limits | real number (ℝ) | — | input |
| c,d | y-limits | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenf(x, y) = x*y, x from a = 0, x to b = 1, y from c = 0, y to d = 1, grid n = 200
Result0.25
Example 2
Givenf(x, y) = x+y, x from a = 0, x to b = 2, y from c = 0, y to d = 2, grid n = 200
Result8