Double Integral Calculator
Calculate the definite double integral of a function f(x, y).
$$ \int_{c}^{d} \int_{a}^{b} f(x, y) \, dx \, dy $$
Supported: +, -, *, /, ^, sin, cos, tan, log, sqrt, abs, exp. Use 'x' and 'y'.
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What is a Double Integral?
A double integral calculates the volume under the surface z = f(x, y) over a specific region R in the xy-plane.
Notation: ∫∫R f(x, y) dA
How this Calculator Works
This tool uses Iterated Simpson's Rule. It first integrates with respect to x (inner integral) treating y as a constant, and then integrates the resulting function with respect to y (outer integral).
Input syntax tips:
- Use
*for multiplication (e.g.x*y). - Use
^for powers (e.g.x^2). - Trig functions assume Radians.