Special functions

Inverse tangent integral

The inverse tangent integral is a special function, defined by: Equivalently, it can be defined by a power series, or in terms of the dilogarithm, a closely related special function. (Wikipedia).

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Introduction to Inverse Sine, Inverse Cosine, and Inverse Tangent

Introduction to the inverse functions of sine, cosine, and tangent http://mathispower4u.wordpress.com/

From playlist Inverse Trigonometric Functions

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The integral 1/(x^2+1) and 1/(x^2+a^2)

German version: https://www.youtube.com/watch?v=QaxIB9bS1ec In today's video we are going to derive the inverse tangent in its integral form. After doing that, we are going to generalize this formula by introducing a new parameter and a u-substitution. Help me create more and better cont

From playlist Integrals

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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

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An inverse tangent integral.

We present the integral of arctan^2(1/x) on the interval [0,\infty). Playlist: https://youtube.com/playlist?list=PL22w63XsKjqzJpcuD6InKWZXep2L0z1H8 http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Interesting Integrals

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Animation: Inverse Sine, Inverse Cosine, and Inverse Tangent

Illustrates why the domain of sine, cosine, and tangent must be restricted to determine their inverses. http://mathispower4u.wordpress.com/

From playlist Inverse Trigonometric Functions

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Evaluate Inverse Tangent Expressions Using the Unit Circle (Nice Values)

This video explains how to use the unit circle to evaluate inverse trigonometric expressions. http://mathispower4u.com

From playlist Inverse Trigonometric Functions

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Calculus 3.11g - Derivative of Inverse Tangent

Derivatives of the inverse trig functions are introduced by differentiating the inverse tangent function using implicit differentiation.

From playlist Calculus Ch 3 - Derivatives

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Ex 1: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

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Evaluate Inverse Tangent Expressions Using the Reference Triangles

This video explains how to use the reference triangles to evaluate inverse trigonometric expressions. http://mathispower4u.com

From playlist Inverse Trigonometric Functions

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A Trigonometric Party - Integral of sqrt(x^2-1) via trig substitution

Today, we will be doing some integration using some trigonometric substitution. Along the way, we will encounter a few cool integrals including the integral of sec(x) and sec^3(x).

From playlist Integrals

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improper integrals, case 3 (KristaKingMath)

► My Integrals course: https://www.kristakingmath.com/integrals-course Check out http://www.kristakingmath.com for more math help! :D In this video we learn how to evaluate improper integrals of case type 3, which are improper integrals over the interval (-infinity,infinity). We'll pick

From playlist Integrals

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10 Integral Battles! (Elementary vs. Non-Elementary)

Integrals for you tee (English): https://teespring.com/integrals-for-you file: https://docs.wixstatic.com/ugd/287ba5_3f60c34605f1494498f02a83c2e62b29.pdf If you want another video on elementary vs. non-elementary, then give this video a like so I can know. Once this video gets 3k likes I

From playlist Special functions

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so you want a HARD integral from the Berkeley Math Tournament

You can now register for BMT 2022 here: https://www.ocf.berkeley.edu/~bmt/bmt-2022/ The first-place team wins $1000 bprp scholarship and I will be there! We will integrate x/tan(x) from 0 to pi/2. We will use Feynman's technique (aka Feynman's trick of integration or differentiation unde

From playlist Binge-able math for fun videos (2022)

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Ahmed's Integral - An Elementary Approach

Merch :v - https://teespring.com/de/stores/papaflammy Help me create more free content! =) https://www.patreon.com/mathable Original: https://www.youtube.com/watch?v=ZOeQRL2DArY Coxeters: https://www.youtube.com/watch?v=1FixkRTDem0 The other Integral: https://www.youtube.com/watch?v=itU-

From playlist Integrals

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Evaluating an absolute Monster - Coxeter's Integral

Merch :v - https://teespring.com/de/stores/papaflammy Help me create more free content! =) https://www.patreon.com/mathable Ahmed's Integral: https://youtu.be/ZOeQRL2DArY Arctan Int: https://www.youtube.com/watch?v=QaxIB9bS1ec Outtake PFD: https://youtu.be/CpELnKMih4Y There we go! Let u

From playlist Integrals

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Trig/Trig Sub Integrals But Harder (Calculus 2 challenge)

"Trig" the problems first: https://bit.ly/3kEY5A2 Check out the integral of sqrt(sin^-1(x)) vs. integral of sqrt(sin(x)): https://youtu.be/g6ilAGsPdSA 🔑 If you enjoy my videos, then you can click here to subscribe https://www.youtube.com/blackpenredpen?sub_confirmation=1 💪 To further s

From playlist Calculus Exam & Lecture Livestreams

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What is General Relativity? Lesson 34: Math Break - Integration of Rational Functions

What is General Relativity? Lesson 34: Math Break - Integration of Rational Functions This is another mathematics review to prepare for the introduction of elliptic integrals. The paper by Kostic I occasionally refer to during these lectures can be found here: https://arxiv.org/abs/1201

From playlist What is General Relativity?

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Derivative and integral of inverse secant

Derivative of sec^-1(x), Integral of sec^-1(x), Derivative of arcsec(x), Integral of arcsec(x), blackpenredpen

From playlist Trig Substitution, Calculus 2

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2.9 Calculus of Hyperbolic Functions

OpenStax Calculus Volume 2

From playlist Calculus 2

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PreCalculus - Trigonometry (53 of 54) Inverse Tangent Function

Visit http://ilectureonline.com for more math and science lectures! In this video I will graph the inverse tangent function y=tan^-1(x).

From playlist Michel van Biezen: Pre-Calculus 6-9 - Trigonometry Review

Related pages

Polylogarithm | Inverse hyperbolic tangent | Principal branch | Legendre chi function | Power series | Catalan's constant