Theorems in analysis | Calculus | Theorems in calculus

Integral of inverse functions

In mathematics, integrals of inverse functions can be computed by means of a formula that expresses the antiderivatives of the inverse of a continuous and invertible function , in terms of and an antiderivative of . This formula was published in 1905 by Charles-Ange Laisant. (Wikipedia).

Integral of inverse functions
Video thumbnail

Inverse Functions | Functions

In this video, we begin looking at inverse functions. We do not worry about the domain and range of the inverse function, we focus only on finding the rule for the inverse function. The domain and range of the inverse function will be covered in future videos. We do, however, include an ex

From playlist All Videos

Video thumbnail

Learn the steps to finding the inverse of the reciprocal function

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Step by step find the inverse of the reciprocal function

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Find inverse of a rational equation then determine domain and range

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

How to find domain and range of a rational equation using inverse

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

How to write the inverse of a function when it is a fraction

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Learn step by step to find the inverse of a function

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

How to determine if a rational function has an inverse and what it is

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Learn how to find the inverse of a rational expression

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Lecture 9: Lebesgue Measurable Functions

MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=ETmIxkbTm3I&list=PLUl4u3cNGP63micsJp_

From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021

Video thumbnail

Integrals of Inverses - A General Formula!

Patreon: https://www.patreon.com/whatthehectogon Instagram: https://www.instagram.com/whatthehectogon/ Doggo: https://www.instagram.com/fluffy.gus/ Email: whatthehectagon@gmail.com

From playlist WACKY integrals

Video thumbnail

Reverse, Reverse I: Calculus with Inverse Functions!

I demonstrate the general solution to the derivative and antiderivative of f inverse of x, given a differentiable function f(x) and it's antiderivative, F(x). I know this has been shown before on YouTube, but I figured I'd make my own proof video so that I can have the theorems I want to

From playlist Analysis

Video thumbnail

Integration using an Inverse Function [ Papa Flammy's V2 ]

Help me create more free content! =) https://www.patreon.com/mathable Old version: https://youtu.be/Qsr-VriK294 Let us derive a rather important identity today! With it we are going to be able to easily integrate inverse trigonometric or hyperbolic functions! =) Twitter: https://twitter

From playlist Theory and Proofs

Video thumbnail

Integrating using inverse functions

German Version: https://youtu.be/gt5TdVsIWaE In today's video we are going to learn, how to integrate inverse functions, for exapmle the inverse tangent. We are going to derive the corresponding formula and will solve the natural logarithm as an example. Help me create more and better co

From playlist Theory and Proofs

Video thumbnail

Complex Analysis L13: Bromwich Integrals and the Inverse Laplace Transform

This video is a culmination of this series on complex analysis, where we show how to compute the Bromwich integral used in the inverse Laplace transform. @eigensteve on Twitter eigensteve.com databookuw.com

From playlist Engineering Math: Crash Course in Complex Analysis

Video thumbnail

Calculus 2, volumes of revolution by cylindrical shells (Feb 3 2021)

Volumes of revolution by cylindrical shells! This is a recording of a live class for Math 1172, Calculus 2, an undergraduate course for math majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s1172/

From playlist Math 1172 (Calculus 2) Spring 2021

Video thumbnail

Integral Formula for Natural Log (without knowing the derivative)

This video proves that the natural log equals the integral from 1 to x of 1/t dt under the assumption that ln(x) is the inverse function to the exponential e^x. We can do this without already knowing the derivative of the natural log! More details on why the integral is the inverse of e^x

From playlist Calculus Problems

Video thumbnail

Integration mit Hilfe der inversen Funktion

Englische Version: https://youtu.be/Qsr-VriK294 Im heutigen Video werden wir erlernen, wie man eine Inverse Funktion integriert, bzw. wie man mit Hilfe einer Besagten integriert.

From playlist Theorie und Beweise

Video thumbnail

Math 135 Complex Analysis Lecture 08 021215: Harmonic Functions, Differentiation, Contour Integrals

Inverse function theorem (for analytic functions); harmonic functions; harmonic conjugates; (example of) non-existence of a harmonic conjugate; differentiating the exponential function, the principal branch of the logarithm; contours; contour integrals; examples of contour integration

From playlist Course 8: Complex Analysis

Video thumbnail

Find inverse of a rational equation with two variables in numerator and denominator

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Related pages

Legendre transformation | Fundamental theorem of calculus | Young's inequality for products | Biholomorphism | Darboux integral | Differentiable function | Integration by substitution | Interval (mathematics) | Mathematics | Integration by parts | Intermediate value theorem | Antiderivative | Theorem | Mean value theorem | Continuous function | Proof without words