Summary of Integración por partes | Introducción

00:00:00 - 00:10:00

This video explains how to solve an integral by breaking it down into smaller pieces. First, the inverse of the function is found, then the integral is solved. Finally, a practice problem is given to help solidify the concepts.

• 00:00:00 In this video, we explore the concept of Integration by Parts. We start by discussing when Integration by Parts is used and then we discuss Integration by Parts in more detail. We learn how to identify the 'U' and replace it with its inverse in order to solve an Integration by Parts problem. Finally, we discuss another concept that is useful for Integration by Parts: the Order of Operations.
• 00:05:00 In this video, integración por partes is introduced. This video explains how to solve a problem by solving it piece by piece. First, logarithmic regression is explained, then trigonometry, and finally exponential equations. However, what is really useful is that here we always have to multiply two functions and that these two functions must be one of these five types: logarithmic, trigonometric, exponential, algebraic, or transcendental. Although algebraic, trigonometric, and exponential equations are all straightforward to solve, exponential equations are particularly useful because they always involve a multiplication of two functions. Knowing which function is multiplied first is always easy to determine by recognizing the signs of the coefficients. Next, the example problem of finding the inverse of a function is solved. First, the inverse of the algebraic function is found, then the inverse of the trigonometric function, and finally the inverse of the exponential function. Once these inverses are found, the entire integral is solved. Finally, the practice problem of finding the square root of a number is solved. First, the derivative of the logarithmic function is found, then the derivative of the trigonometric function, and finally the derivative of the exponential function.
• 00:10:00 In this video, integrals are introduced, and the integral of x squared over 3 is explained. The integral is then re-expressed in terms of the natural logarithm of x, and the equi-derivative of the equi-square is also introduced. Finally, an exercise is given to practice the concepts. The integral of x squared over 3 is explained, and it is re-expressed using the natural logarithm and the equi-derivative of the equi-square. An exercise is given to practice the concepts.