In calculus, the integral of the secant function can be evaluated using a variety of methods and there are multiple ways of expressing the antiderivative, all of which can be shown to be equivalent via trigonometric identities, This formula is useful for evaluating various trigonometric integrals. In particular, it can be used to evaluate the integral of the secant cubed, which, though seemingly special, comes up rather frequently in applications. (Wikipedia).
Integral of sec(x) - A Nice Approach
Today, we integrate the secant function using a very peculiar approach.
From playlist Integrals
Integral of sec^4x, solution playlist page http://www.blackpenredpen.com/math/Calculus.html trig integrals, trigonometric integrals, integral of sin(x), integral of tan(x), integral of sec(x), James Stewart single variable Calculus sect 7.2, integration examples, integral examples, ant
From playlist Integral of sec^n(x)
In this video, I find an antiderivative of sec(x), using a clever trick and a substitution. Enjoy!
From playlist Integrals
Integral of sec^6x https://www.youtube.com/watch?v=6XlSP58u-is&index=3&list=PLj7p5OoL6vGz5NOdzmYRea6dCbhf68g49 trig integrals, trigonometric integrals, integral of sin(x), integral of tan(x), integral of sec(x), James Stewart single variable Calculus sect 7.2, integration examples, int
From playlist Integral of sec^n(x)
Ex: Integral Using Substitution with an Odd Power of Tangent
This video explains how to perform u-substitution when the integrand contains an odd power of tangent. Site: http://mathispower4u.com
From playlist Integration Involving Powers of Trigonometric Functions
Integral of sec(x/3) If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Larson Calculus Section 5.2 The Natural Logarithmic Function: Integration
Integral sec(x)tan(x)/(1 + sec(x)) with u substitution
Integral sec(x)tan(x)/(1 + sec(x)) with u substitution
From playlist Calculus 1
Ex: Integral Using Substitution with an Even Power of Secant
This video explains how to perform u-substitution when the integrand contains an even power of secant. Site: http://mathispower4u.com
From playlist Integration Involving Powers of Trigonometric Functions
The Antiderivative of a Function involving Secant Squared
This video explains how to find an antiderivative of a function with secant squared.
From playlist The Antiderivative
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
Trigonometric Integrals Powers of Tangent and Secant 5 Examples Calculus 2 BC
Examples at 6:21 10:58 13:14 20:34 Example involving Integration by Parts 22:38 Trigonometric Integrals Powers of Sine and Cosine https://www.youtube.com/watch?v=kw20LXdGLQc Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics w
From playlist Calculus 2
Integral of a quadratic function (KristaKingMath)
► My Integrals course: https://www.kristakingmath.com/integrals-course Learn how to calculate the integral of a quadratic function by completing the square. To complete this problem, you'll need to complete the square of the quadratic, then use trigonometric substitution to calculate the
From playlist Integrals
Definite Integration by Trigonometric Substitution Calculus 2 BC
I show two ways to work through a definite integral that involves Trigonometric Substitution. I would like to send out a HUGE Shout Out to my awesome viewer or viewers that Closed Captioned this lesson for me. Your help touches my heart and I am greatly appreciative of all your effort. I
From playlist Calculus 2
Lec 28 | MIT 18.01 Single Variable Calculus, Fall 2007
Lecture 28: Integration by inverse substitution; completing the square Instructor: David Jerison View the complete course at: http://ocw.mit.edu/18-01F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.01 Single Variable Calculus, Fall 2006
First Order Linear Differential Equation & Integrating Factor (idea/strategy/example)
Verify the solution: https://youtu.be/vcjUkTH7kWs To support my channel, you can visit the following links T-shirt: https://teespring.com/derivatives-for-you Patreon: https://www.patreon.com/blackpenredpen Thank you so much! First Order Linear Differential Equation, the idea & strategy
From playlist Differential Equations: 1st order linear (Nagle Sect2.3)
Trigonometric substitution with secant (KristaKingMath)
► My Integrals course: https://www.kristakingmath.com/integrals-course Learn how to use trigonometric substitution with a secant substitution to evaluate an integral. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // htt
From playlist Integrals
Differential Equations: Lecture 2.3 Linear Equations (Version 2)
This is a real classroom lecture on Differential Equations. In this lecture I cover section 2.3 which is on linear equations. This course uses Zill's book on DE's, this is my review of the book, https://www.youtube.com/watch?v=M6o3Sp-LeJo& Here is my DE lecture playlist, https://www.you
From playlist Differential Equations Full Lectures
Trigonometric Integrals (OpenStax Calculus, Vol. 2, Section 3.2)
This video contains solutions to sample problems from OpenStax Calculus, Volume 2, Section 3.2: Trigonometric Integrals. OpenStax Calculus Vol. 2: https://openstax.org/details/books/calculus-volume-2 Note: This is a corrected version of a previous video that contained an error in the so
From playlist Calculus II
Worldwide Calculus: Special Trigonometric Integrals and Trigonometric Substitutions
Lecture on 'Special Trigonometric Integrals and Trigonometric Substitutions' from 'Worldwide Integral Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Integral Calculus
Find an antiderivative of secant squared
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral