diff --git a/Objects/intobject.c b/Objects/intobject.c
index e518e74..74955ad 100644
--- a/Objects/intobject.c
+++ b/Objects/intobject.c
@@ -1334,15 +1334,20 @@
 };
 
 PyDoc_STRVAR(int_doc,
-"int(x[, base]) -> integer\n\
+"int(x=0) -> int or long\n\
+int(x, base=10) -> int or long\n\
 \n\
-Convert a string or number to an integer, if possible.  A floating point\n\
-argument will be truncated towards zero (this does not include a string\n\
-representation of a floating point number!)  When converting a string, use\n\
-the optional base.  It is an error to supply a base when converting a\n\
-non-string.  If base is zero, the proper base is guessed based on the\n\
-string content.  If the argument is outside the integer range a\n\
-long object will be returned instead.");
+Convert a number or string to an integer, or return 0 if no arguments\n\
+are given.  If x is floating point, the conversion truncates towards zero.\n\
+If x is outside the integer range, the function returns a long instead.\n\
+\n\
+If x is not a number or if base is given, then x must be a string or\n\
+Unicode object representing an integer literal in the given base.  The\n\
+literal can be preceded by '+' or '-' and be surrounded by whitespace.\n\
+The base defaults to 10.  Valid bases are 0 and 2-36.  Base 0 means to\n\
+interpret the base from the string as an integer literal.\n\
+>>> int('0b100', base=0)\n\
+4");
 
 static PyNumberMethods int_as_number = {
     (binaryfunc)int_add,        /*nb_add*/
diff --git a/Objects/longobject.c b/Objects/longobject.c
index cd86a1f..9296ad4 100644
--- a/Objects/longobject.c
+++ b/Objects/longobject.c
@@ -4221,13 +4221,19 @@
 };
 
 PyDoc_STRVAR(long_doc,
-"long(x[, base]) -> integer\n\
+"long(x=0) -> long\n\
+long(x, base=10) -> long\n\
 \n\
-Convert a string or number to a long integer, if possible.  A floating\n\
-point argument will be truncated towards zero (this does not include a\n\
-string representation of a floating point number!)  When converting a\n\
-string, use the optional base.  It is an error to supply a base when\n\
-converting a non-string.");
+Convert a number or string to a long integer, or return 0L if no arguments\n\
+are given.  If x is floating point, the conversion truncates towards zero.\n\
+\n\
+If x is not a number or if base is given, then x must be a string or\n\
+Unicode object representing an integer literal in the given base.  The\n\
+literal can be preceded by '+' or '-' and be surrounded by whitespace.\n\
+The base defaults to 10.  Valid bases are 0 and 2-36.  Base 0 means to\n\
+interpret the base from the string as an integer literal.\n\
+>>> int('0b100', base=0)\n\
+4L");
 
 static PyNumberMethods long_as_number = {
     (binaryfunc)long_add,       /*nb_add*/
diff --git a/Objects/rangeobject.c b/Objects/rangeobject.c
index c602e7d..5203f40 100644
--- a/Objects/rangeobject.c
+++ b/Objects/rangeobject.c
@@ -104,7 +104,8 @@
 }
 
 PyDoc_STRVAR(range_doc,
-"xrange([start,] stop[, step]) -> xrange object\n\
+"xrange(stop) -> xrange object\n\
+xrange(start, stop[, step]) -> xrange object\n\
 \n\
 Like range(), but instead of returning a list, returns an object that\n\
 generates the numbers in the range on demand.  For looping, this is \n\
diff --git a/Objects/sliceobject.c b/Objects/sliceobject.c
index d1fe052..767a50a 100644
--- a/Objects/sliceobject.c
+++ b/Objects/sliceobject.c
@@ -211,7 +211,8 @@
 }
 
 PyDoc_STRVAR(slice_doc,
-"slice([start,] stop[, step])\n\
+"slice(stop)\n\
+slice(start, stop[, step])\n\
 \n\
 Create a slice object.  This is used for extended slicing (e.g. a[0:10:2]).");
 
diff --git a/Objects/stringobject.c b/Objects/stringobject.c
index 7c4a86b..39fa740 100644
--- a/Objects/stringobject.c
+++ b/Objects/stringobject.c
@@ -3799,7 +3799,7 @@
 };
 
 PyDoc_STRVAR(string_doc,
-"str(object) -> string\n\
+"str(object='') -> string\n\
 \n\
 Return a nice string representation of the object.\n\
 If the argument is a string, the return value is the same object.");
diff --git a/Objects/unicodeobject.c b/Objects/unicodeobject.c
index d40f2e4..e3c2cb1 100644
--- a/Objects/unicodeobject.c
+++ b/Objects/unicodeobject.c
@@ -1861,7 +1861,7 @@
        illegal prefix.  See RFC 3629 for details */
     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, /* 00-0F */
     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
-    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
@@ -2217,7 +2217,7 @@
 #endif
     PyObject *errorHandler = NULL;
     PyObject *exc = NULL;
-    
+
     q = (unsigned char *)s;
     e = q + size;
 
@@ -8759,7 +8759,8 @@
 }
 
 PyDoc_STRVAR(unicode_doc,
-             "unicode(string [, encoding[, errors]]) -> object\n\
+             "unicode(object='') -> unicode object\n\
+unicode(string[, encoding[, errors]]) -> unicode object\n\
 \n\
 Create a new Unicode object from the given encoded string.\n\
 encoding defaults to the current default string encoding.\n\