This video gives an introduction about the process of integration, which is the inverse process of differentiation. It shows how to obtain the equation of a curve though the equation of its gradient.
This video shows how to formulate differential equations from a series of statements and integrate these equations in order to obtain the answer asked for in the question.
This video gives an introduction to improper integrals, which arises from curves having infinite limits, and shows how to find the area under such curves.