Explore a lecture from the Brazil-France School on Foliation Theory focusing on integral conditions for the existence of first integrals. Delve into advanced mathematical concepts presented during this 37-minute talk, which is part of a collaborative event hosted simultaneously at CIRM in Marseille and IMPA in Rio de Janeiro. Gain insights into the ongoing research and discussions in foliation theory, fostering connections between Brazilian and French mathematical communities. Learn from expert speakers as they share their knowledge on this specialized topic, contributing to the rich tradition of international collaboration in the field of mathematics.