Triple Integral Calculator
Calculate the definite triple integral of a function f(x, y, z).
$$ \int_{e}^{f} \int_{c}^{d} \int_{a}^{b} f(x, y, z) \, dx \, dy \, dz $$
Supported: +, -, *, /, ^, sin, cos, tan, log, sqrt, abs, exp. Use 'x', 'y', 'z'.
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What is a Triple Integral?
A triple integral generalizes the concept of integration to functions of three variables, often calculating the volume of a 4D hyper-volume or the mass of a 3D object with variable density.
Notation: ∫∫∫V f(x, y, z) dV
How this Calculator Works
This tool uses Iterated Simpson's Rule to approximate the integral. It integrates sequentially over x, y, and z.