The LaTeX command for quadruple integral (⨌) is \iiiint.
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Write \iiiint inside math mode, that is between $…$ for inline math or in a \[ … \] or equation block for display math. This symbol needs the amsmath package, so add \usepackage{amsmath} to your preamble.
In display math \iiiint takes its full size; inline it shrinks to fit the line, and \displaystyle forces the large form. With unicode-math under XeLaTeX or LuaLaTeX, typing ⨌ in a formula gives the same symbol.
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Use \iiiint in math mode after adding \usepackage{amsmath} to your preamble. For example, $\iiiint f(x)$.
It comes from the amsmath package: add \usepackage{amsmath} to your preamble.