Here is a simple example using Maple to show that
doesn't exist.
> ex1 := int(1/x,x=a..2);

> limit(ex1,a=0,right);

Try these out yourself, using the limit and int commands in Maple. The example above used the right option to limit because the right-hand limit was needed. If you need a left-hand limit, use the left option in the limit command.
doesn't exist
doesn't exist
doesn't exist