Answer:
I'm not sure what you are asking.
There are infinite limits, which are when the ends of a function go on to infinity and don't approach an asymptote. They have no maximum/minimum and can reach every point on the number line.
There also are indefinite integrals, which is the area between a curve and a line (say the x-axis), without a bounded region. These end in +C because the constant that may have been lost in the derivation process is unknown. If you have a point on the curve, you can find what C is, but in the neantime, an indefinite integral simply put is the area under a curve.