In the subject of Calculus II of the Degree in Engineering of the Mining and Energetic Resources provides basic and common training to the branch of the engineering. Such and how features in the memory of the degree, after finalizing the subject the student will have to be able to formulate, resolve and interpret mathematically own problems of the engineering. Stop this, when surpassing the subject, will owe to know calculate integrals of functions of an and of varied variables, know his meaning and dominate the basic numerical methods of approximation of integrals. On the other hand, it has to be used with the handle and resolution of differential equations of first order and upper. All these contents are relevant for varied subjects that owes to study simultaneously or later in the qualifications.