diff --git a/Doc/library/functions.rst b/Doc/library/functions.rst
--- a/Doc/library/functions.rst
+++ b/Doc/library/functions.rst
@@ -623,20 +623,26 @@
Consider using the :func:`raw_input` function for general input from users.
-.. function:: int([x[, base]])
+.. function:: int(x=0)
+ int(x, base=10)
- Convert a string or number to a plain integer. If the argument is a string,
- it must contain a possibly signed decimal number representable as a Python
- integer, possibly embedded in whitespace. The *base* parameter gives the
- base for the conversion (which is 10 by default) and may be any integer in
- the range [2, 36], or zero. If *base* is zero, the proper radix is
- determined based on the contents of string; the interpretation is the same as
- for integer literals. (See :ref:`numbers`.) If *base* is specified and *x*
- is not a string, :exc:`TypeError` is raised. Otherwise, the argument may be a
- plain or long integer or a floating point number. Conversion of floating
- point numbers to integers truncates (towards zero). If the argument is
- outside the integer range a long object will be returned instead. If no
- arguments are given, returns ``0``.
+ Convert a number or string *x* to an integer, or return ``0`` if no
+ arguments are given. If *x* is a number, it can be a plain integer, a long
+ integer, or a floating point number. If *x* is floating point, the conversion
+ truncates towards zero. If the argument is outside the integer range, the
+ function returns a long object instead.
+
+ If *x* is not a number or if *base* is given, then *x* must be a string or
+ Unicode object representing an :ref:`integer literal ` in radix
+ *base*. Optionally, the literal can be
+ preceded by ``+`` or ``-`` (with no space in between) and surrounded by
+ whitespace. A base-n literal consists of the digits 0 to n-1, with ``a``
+ to ``z`` (or ``A`` to ``Z``) having
+ values 10 to 35. The default *base* is 10. The allowed values are 0 and 2-36.
+ Base-2, -8, and -16 literals can be optionally prefixed with ``0b``/``0B``,
+ ``0o``/``0O``/``0``, or ``0x``/``0X``, as with integer literals in code.
+ Base 0 means to interpret the string exactly as an integer literal, so that
+ the actual base is 2, 8, 10, or 16.
The integer type is described in :ref:`typesnumeric`.