Integral calculus | Trigonometry
In mathematics, trigonometric substitution is the replacement of trigonometric functions for other expressions. In calculus, trigonometric substitution is a technique for evaluating integrals. Moreover, one may use the trigonometric identities to simplify certain integrals containing radical expressions. Like other methods of integration by substitution, when evaluating a definite integral, it may be simpler to completely deduce the antiderivative before applying the boundaries of integration. (Wikipedia).
We can employ the power of trigonometric substitutions by converting integrals into trigonometric integrals.
From playlist Older Calculus II (New Playlist For Spring 2019)
Math 031 Spring 2018 020718 Trigonometric Substitution
Method of trigonometric substitution: use the Pythagorean identities. Examples of trigonometric substitution.
From playlist Course 3: Calculus II (Spring 2018)
Integration 12_5_3 Trigonometric Integration.mov
Another example of trigonometric substitution.
From playlist Integration
Integration 12_5_4 Trigonometric Integration.mov
Another example of trigonometric substitution.
From playlist Integration
Integration 12 Trigonometric Integration Part 5 Example 2.mov
Another example of trigonometric substitution.
From playlist Integration
Q57, integral of 1/(1-x^2)^(3/2) vs integral of x/(1-x^2)^(3/2),
integral of 1/(1- x^2)^(3/2) vs integral of x/(1- x^2)^(3/2), The answers are also very interesting! For more resource, please visit: https://www.blackpenredpen.com/calc2
From playlist Trig Substitution, Calculus 2
Intro to Trigonometric Substitution --- Ex: Deriving Area of Circle Formula
Trigonometry is great for integration because we can utylize all the various trigonometric identities to manipulate challenging integrals into easier ones. Trigonometric SUBSTITUTION involves making substitutions like x=sin(theta) to introduce trig, and then use the trig identities. In t
From playlist Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) **Full Course**
Calculus 2: Integration - Trig Substitution (1 of 28) What Is & When to Use Trig Substitution?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is and how and when to use trig substitution for integrals. Next video in the series can be seen at: https://youtu.be/XmpoQtV8HHY
From playlist CALCULUS 2 CH 9 TRIG SUBSTITUTION
Ex: Integration Using Trigonometric Substitution and Completing the Square
This video provides an example of how to determine an indefinite integral using trigonometric substitution and completing the square. Site: http://mathispower4u.com
From playlist Integration Using Trigonometric Substitution
Trig substitution - How to solve?
► My Integrals course: https://www.kristakingmath.com/integrals-course Trigonometric substitution (more affectionately known as trig substitution, or trig sub), is another integration method you can use to simplify integrals. It’s like u-substitution, integration by parts, or partial frac
From playlist Integrals
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
Deconstructing a messy integral | Trig subs & u-subs combined
When faced with a messy integral, we need to come up with a strategy to deconstruct it. In this example, we do a u-sub to make it look like something we can tackle with a trig sub, and then another u-sub to tackle the final integral. This is the first time we do an example with x=sec(theta
From playlist Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) **Full Course**
How to solve EVERY trigonometric substitution problem ever!
► My Integrals course: https://www.kristakingmath.com/integrals-course This video is all about how to start a trigonometric substitution problem so that you'll have everything you need right at the beginning of the problem. These problems are complicated enough, that it's worth taking ext
From playlist Integrals
Trigonometric substitution with tangent (KristaKingMath)
► My Integrals course: https://www.kristakingmath.com/integrals-course Learn how to use trigonometric substitution with a tangent 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 // ht
From playlist Integrals
Integrating a trig function using u-substitution!
► My Integrals course: https://www.kristakingmath.com/integrals-course Trig functions aren't difficult to integrate, as long as you know the integration formula for each of the six circular trig functions. But once you know, for example, that the integral of cosine is sine, integrating co
From playlist Integrals
Trigonometric Substitution Example 1 Part 1
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The last bit of the video cuts out before I got finished, but you can see the end of the example in the video 'Trigometric Substitution Example 1 Part 2'! F
From playlist Integrals / Antiderivatives
How to factor a trinomial of a trig identity
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like the quotient, reciprocal, even, odd, co-function, and
From playlist Simplify Identities by Factoring (Trinomial) #AnalyticTrig
Integration Involving Trigonometric Substitution Part 4
This video explains how to integrate using trigonometric substitution based upon the pythagorean identities. Part 4 of 4 http://mathispower4u.yolasite.com/
From playlist Integration Using Trigonometric Substitution