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I wanted to know how to write in LaTeX an integral but not in italic. Please!

Mensch
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Audrey
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    The computer modern font's integral symbol is slanted. If you want an upright symbol for some reason and it's that important to you, I think it would be better to select a font with such a design choice – Au101 Dec 08 '16 at 18:40

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You can either modify the integral in the standard computer moderns font yourself, or use a font best suited to your interests, for instance see here (not all are open fonts).