Uses of integral calculus in discrete mathematics?

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I have to do a project in my integral calculus class. But all the topics are too mainstream (parabolic arc calculation,archimedean approzimation of circle are,obtaining $E=mc^2\dots$

However I'm really into discrete maths right now and I would like to use integral calculus for my project in discrete mathematics?

Is this viable? What are some topics I could persue?(Things I am really into right now are combinatorial identities, graph theory,abstract algebra and category theory).

Thank you very much in advance, forgive me if this question is innapropriate.

Best Wishes.