LaTeX cheat sheet

LaTeX Integrals, Sums, and Limits

How to write \int, \sum, and \lim in LaTeX — with examples for definite integrals, summation limits, and x → 0 style limits.

These three commands cover most calculus homework. Watch braces around subscripts and superscripts; missing braces are the usual layout bug.

Try in the editor All LaTeX symbols

Commands

Symbol	Command	Name
$\int_{a}^{b} f(x)\,dx$	`\int_{a}^{b} f(x)\,dx`	Integral
$\iint_{D} f(x,y)\,dA$	`\iint_{D} f(x,y)\,dA`	Double integral
$\iiint$	`\iiint`	Triple integral
$\oint$	`\oint`	Contour integral
$\sum_{i=1}^{n} a_i$	`\sum_{i=1}^{n} a_i`	Summation
$\prod_{i=1}^{n} a_i$	`\prod_{i=1}^{n} a_i`	Product
$\lim_{x \to 0} \frac{\sin x}{x}$	`\lim_{x \to 0} \frac{\sin x}{x}`	Limit
$\liminf$	`\liminf`	Limit inferior
$\limsup$	`\limsup`	Limit superior
$\partial$	`\partial`	Partial derivative
$\infty$	`\infty`	Infinity
$x \to 0$	`x \to 0`	Approaches

Tip: in the NovaMath editor toolbar search, try “greek”, “integral”, “sum”, or “limits”.