This “the integral of aspirin” math meme is another proof that shows how a math person’s mind works! Here, you’re integrating the function “aspiri” with respect to “n.” And when integrating a constant, you multiply it by the variable and add a constant, “c.” That’s why “aspiri” becomes aspiri•n+c, or aspirin plus c.
If you want to learn calculus, you should check the online tool, Calculus Made Easy, or you can buy Spivak’s classic calculus book!