TeX has \int as the integral sign. Integral expressions are formed from the use of sub- and superscript, the judicious use of spacing, and simply writing out the differential. For example, a standard integral in LaTeX looks like

Failed to parse (Cannot write to or create math output directory): \int_a^b \! f(x) \, \mathrm{d}x.

Note the use of \mathrm to make a Roman "d" which distinguishes it from the product of variables d and x. Note, too, the use of \! to bring the function closer to the integral sign and the \, to push the differential farther away. Without them, the integral looks like

Failed to parse (Cannot write to or create math output directory): \int_a^b f(x) dx,

which, although logically identical, is less legible and rankles the aesthetic sensibilities of many.

Examples Edit

You can also treat the integral as a sum-class symbol with the \limit command. This is most useful for double and triple integrals. For example,

\iint\limits_D \, \dif x\,\dif y \quad \iiint\limits_E \, \dif x\,\dif y\,\mathrm{d}z

Failed to parse (Cannot write to or create math output directory): \iint\limits_D \, \mathrm{d}x\,\mathrm{d}y \quad \iiint\limits_E \, \mathrm{d}x\,\mathrm{d}y\,\mathrm{d}z

where D and E are regions that satisfy the requirements.

And let's not forget the closed path integral.

\oint \! \nabla f \, \dif t = 0

Failed to parse (Cannot write to or create math output directory): \oint \! \nabla f \, \mathrm{d}t = 0