I want to know the answer to the following question:
What describes functions having antiderivatives of a prescribed form?
All the background I'm provided with is that "Another application is differential Galois theory, which characterizes functions having antiderivatives of a prescribed form, giving group-theoretic criteria for when solutions of certain differential equations are well-behaved.u[›] Geometric properties that remain stable under group actions are investigated in (geometric) invariant theory.". Is that enough to answer the question?
Answer: yes