Is there a numerical method to solve a triple integral without numeric limits in its inner integrals

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Let's say I have this triple integral with this kind of limits:

$$ \int _0^2\:\int_x^{8x}\:\int _0^y4xyz\:dz\:dy\:dx\: $$

I wondering what numerical method I can use to solve it and eventually write a program/script to solve it. No symbolic solutions, no python+sympy.

Thanks.

Note: No need to solve it, just the right numeric method to solve this kind of integrals.