Multiple Integrals Calculator
Numerically evaluate double and triple integrals with iterated-integral step-by-step breakdowns.
Input
Examples
Result
Enter an integrand, set bounds, and click Compute
How This Calculator Works
Enter an integrand and set the bounds for each variable. The calculator evaluates double and triple integrals numerically using the midpoint rule with configurable grid resolution. Variable bounds (functions of outer variables) are fully supported.
Iterated Integrals
The step-by-step solution breaks the multiple integral into iterated single integrals using Fubini's theorem. Each integration layer is shown separately so you can follow the evaluation order from inside out.
Double & Triple Integrals
Toggle between double integrals over planar regions and triple integrals over solid regions. Bounds can be constants or expressions in the outer variables, supporting non-rectangular integration domains.