1.can we find antiderivatives of peacewise defined functions when integrating indefinitely?

2.any continuous function has an antiderivative,does the vise versa hold good?

3.can we generalize the fact that if a function is continuous in an interval, we can think of an antiderivative?

4.will any discontinuous function in its domain be an integrable function?
5.what do you mean by an antiderivative?