I have started to create XSD and found in couple of examples for xs:integer and xs:int.
What is the difference between xs:integer
The xs:integer type is a restriction of xs:decimal, with the fractionDigits facet set to zero and with a lexical space which forbids the decimal point and trailing zeroes which would otherwise be legal. It has no minimum or maximum value, though implementations running in machines of finite size are not required to be able to accept arbitrarily large or small values. (They are required to support values with 16 decimal digits.)
The xs:int type is a restriction of xs:long, with the maxInclusive facet set to 2147483647 and the minInclusive facet to -2147483648. (As you can see, it will fit conveniently into a two-complement 32-bit signed-integer field; xs:long fits in a 64-bit signed-integer field.)
The usual rule is: use the one that matches what you want to say. If the constraint on an element or attribute is that its value must be an integer, xs:integer says that concisely. If the constraint is that the value must be an integer that can be expressed with at most 32 bits in twos-complement representation, use xs:int. (A secondary but sometimes important concern is whether your tool chain works better with one than with the other. For data that will live longer than your tool chain, it's wise to listen to the data first; for data that exists solely to feed the tool chain, and which will be of no interest if you change your tool chain, there's no reason not to listen to the tool chain.)