Numerical integration of multidimensional integral [closed]

I’m looking for a software that allows to numerically integrate multidimensional integrals, hopefully compatible or written in C. I’ve found an answer for one dimensional integrals here:

Any suggestion or pointer? That hopefully supports parametric bounds, i.e., bounds that not necessarily are number but can also be expressions with the other integration variables involved. For example, for a two dimensional integral in x and y, the lower bound for the integration on y may be 1 – x.

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Author: damianodamiano