I'm aware of three packages that will let you create larger integral signs: bigints, mtpro2, and relsize.
- The package
bigints provides the following commands to scale up the symbol produced by \int: \bigintssss, \bigintsss, \bigintss, \bigints, and \bigint. Using the default math font family (Computer Modern) and the default text font size of 10pt, these commands (including the "ordinary" \int) produce the following symbols, with a dummy integrand thrown in for scale:

- The
mtpro2 package, which uses Times New Roman-style fonts, provides the commands \xl, \XL, and \XXL (as well as the gynormous, 10cm-tall \XXXL, not shown below) as prefixes to \int. This how the preceding four integrals look when typeset with the mtpro2 package:

By the way, the full mtpro2 package is not free; however, its "lite" subset (which is all that's needed to use the prefix commands \xl, etc.) is free. The package may be downloaded from this site.
- The command
\mathlarger of the relsize package can also produce larger integral symbols. (For multi-step enlargements, the exscale package must be loaded as well.) For a one-step increase in size, you'd type \mathop{\mathlarger{\int}}; for a two-step increase, you'd type \mathop{\mathlarger{\mathlarger{\int}}}, etc.

To my taste, all three sets of results look quite professional. :-)
The bigints package can produce five large variants for \oint as well, but (AFAICT) not for double, triple, surface, slashed, etc. integrals. The mtpro2 package, while providing "only" three large variants of \int (I'm disregarding the \XXXL-prefix variant!), can produce large variants of \iint, \iiint,\oiint, \oiiint, \barint, \slashint, and clockwise- and counterclockwise-oriented line integrals. Similarly, the \mathlarger command of the relsize package can be applied not only to (ordinary) integral symbols but to any other operator symbol.
\(\int^b_a\)and\[\int^b_a\]. – N.N. Dec 23 '11 at 11:40\displaystylecan achieve this ->\[ \int \], if you do not want the math to be centered alone on page. Hence using,\( \displaystyle\int \). – night owl Dec 23 '11 at 11:46