Arctangent primitives | 10/20 | UPV скачать в хорошем качестве

Arctangent primitives | 10/20 | UPV

Título: Arctangent primitives Descripción automática: In this video, the presenter discusses the process of finding antiderivatives of arctangent type integrals, which involve integrating a fraction with a second-degree polynomial in the denominator that is irreducible. The session begins by outlining the necessary prerequisites for the lesson, which include familiarity with the arctangent primitive and the technique for completing the square. The video proceeds to illustrate the three-phase method for solving these integrals: completing the square in the denominator, finding the unity in the denominator, and making final adjustments. An example is used to demonstrate the method, where the discriminant of the polynomial is first confirmed to be negative to establish that the integral is of the arctangent type. The instructor then demonstrates the square completion and subsequent steps, emphasizing the goal of achieving a denominator with a value of one. Further adjustments include scaling the denominator to incorporate a coefficient within the quadratic term and simplifying the result to prepare the integral for the application of the arctangent primitive formula. By the end of the video, the antiderivative is expressed as an arctangent function, and the instructor reiterates that the skills taught will enable students to compute antiderivatives for this class of functions, particularly when the denominator cannot be factored over real numbers. The session concludes with an encouragement to apply this methodology in future problems. Autor/a: Guirao Sánchez Antonio José Curso: Este vídeo es el 10/20 del curso MOOC Math Fundamentals: Integrals.    • MOOC Math Fundamentals: Integrals   Inscríbete en: https://www.edx.org/es/learn/math/uni... Universitat Politècnica de València UPV: https://www.upv.es Más vídeos en:    / valenciaupv   Accede a nuestros MOOC: https://upvx.es #