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In this video I introduce the concept of an integral for the first time. I feel that in school etc., people are not told what an integral IS but rather how to compute an integral. I think that is the wrong way to go about doing business, so here i go, enjoy!!
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The Definite Integral - Understanding the Definition. In this video, I discuss the definition only; I do not calculate any definite integrals.
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An introduction to indefinite integration of polynomials.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this "integral" is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance. I know the speed at each moment of my trip, so how far did I go? View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu Subtitles are provided through the generous assistance of Jimmy Ren.
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Visit MathMeeting.com for free videos on indefinite integrals and all other topics in Calculus.
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Trigonometric Integrals - Part 1 of 6. In this video, the 'cookie cutter' case of products of odds powers of sine and/or odd powers of cosine is discussed. For more free math videos, visit PatrickJMT.com
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At the recent 5-day Integral Institute seminar on Integral Business Leadership, Ken Wilber was asked, by a senior Zen teacher, "What do you think of the Republican convention?" Ken responded by giving an overview of what a truly integral politics might look like, and used that to compare and contrast with the Democratic and Republican conventions, both of which are less-than-integral. We think that this twenty-minute summary is brilliant, insightful, deadly serious, and wickedly funny, all at once. But by all accounts it is an extraordinary account of why all politics today are considerably less-than-integral, along with certain features that almost certainly would have to be included in the future in any truly integral politics. In this synopsis, Ken focuses on three items that all political theories have attempted to address but none have managed to fully integrate. These are the tension between (1) the individual and the collective; (2) the source of the cause of human suffering: is the individual primarily to blame or is the society primarily to blame?; and (3) the different levels of development that the different political parties tend to represent: any truly integral politics would include and represent all of them, and yet how on earth do you do that? Due to time considerations, Ken did not discuss two other equally important ingredients in any integral politics. One. In representational democracies, people have a right to be at whatever stage of development they <b>...</b>
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For a full description of this video, please click here: holons-news.com "1st-Tier" values Magenta (egocentric, magic): Magenta Altitude began about 50000 years ago, and tends to be the home of egocentric drives, a magical worldview, and impulsiveness. It is expressed through magic/animism, kin-spirits, and such. Young children primarily operate with a magenta worldview. Magenta in any line of development is fundamental, or "square one" for any and all new tasks. Magenta emotions and cognition can be seen driving such cultural phenomena as superhero-themed comic books or movies. Red (ego- to ethnocentric, egoic): The Red Altitude began about 10000 years ago, and is the marker of egocentric drives based on power, where "might makes right," where aggression rules, and where there is a limited capacity to take the role of an "other." Red impulses are classically seen in grade school and early high school, where bullying, teasing, and the like are the norm. Red motivations can be seen culturally in Ultimate Fighting contests, which have no fixed rules (fixed rules come into being at the next Altitude, Amber), teenage rebellion and the movies that cater to it (The Fast and the Furious), gang dynamics (where the stronger rule the weaker), and the like. Amber (ethnocentric, mythic): The Amber Altitude began about 5000 years ago, and indicates a worldview that is traditionalist and mythic in nature—and mythic worldviews are almost always held as absolute (this stage of <b>...</b>
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Calculating Double Integrals over General Regions - Two complete examples are shown. For more free math videos, visit PatrickJMT.com
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Calculating a Definite Integral Using Riemann Sums - Part 1. In this video, I show how to set up a definite integral using Riemann Sums. In part 2, I actually compute the Riemann Sum to get a solution! For more free math videos, visit PatrickJMT.com
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Band: Cynic Album: Traced in Air (2008) Genre: Technical Death Metal, Jazz-fusion Promo Version Re-uploaded: www.youtube.com I touch the string though the harp may not sing Still I dig the sky for sun sparks to guide Down below there's a land with an ominous hole Dug deep in the sand of belief A million doves Orbit round the Earth with tears of blood Dare the virgin take integral birth From the void I am born into wave and particle In the uncreated light emerged an oracle A million doves Orbit round the Earth with tears of blood Slay the dragon, take integral birth Weep no more Noble silence usher my way home A million doves Orbit round the Earth with tears of blood Line in sand erased we are but one Cosmic cavalcade we are but one Time has come I take integral birth Reborn
Improper Integral - Basic Idea and Example - For more free math videos, visit PatrickJMT.com
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Examples of taking the indefinite integral (or anti-derivative) of polynomials.
Approximating a Definite Integral Using Rectangles - Here I use 4 rectangles and left endpoints as well as midpoints to approximate the area underneath 16-x^2 from x = 0 to x = 2. For more free math videos, visit PatrickJMT.com
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Free Math Help at Brightstorm! brightstorm.com How to define the definite integral.
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Trigonometric Integrals - Part 2 of 6. In this video, the 'cookie cutter' case of products of even powers of sine and even powers of cosine is discussed. For more free math videos, visit PatrickJMT.com
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Trigonometric Integrals - Part 3 of 6. In this video, the 'cookie cutter' case of products of even powers of secant and powers of tangent is discussed. For more free math videos, visit PatrickJMT.com
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www.laitman.com Highlights from Düsseldorf 2006 international scientists conference "Wisdom and Science in Dialogue: The new Planetary Consciousness."
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Solving a definite integral with substitution (or the reverse chain rule)
More examples of using definite integrals to calculate the area between curves
The Trapezoid Rule for Approximating Integrals. In this video, I show the formula and give one simple example of using the Trapezoid Rule to approximate the value of a definite integral. For more free math videos, visit PatrickJMT.com
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More on why the antiderivative and the area under a curve are essentially the same thing.
Integration by U-Substitution, Definite Integral
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Remainder Estimate for the Integral Test. In this video, I show the Remainder Estimate for the Integral Test, show a series converges using the integral test, and then estimate the error of that series using the first 10 terms. For more free math videos, visit JustMathTutoring.com
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Another example of finding an anti-derivative using trigonometric substitution
Improper Integral - More Complicated Example. For more free math videos, visit PatrickJMT.com
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Double Integrals - Changing Order of Integration. In this video, I show an example of how to switch the order of integration. I DO NOT actually integrate the function (but do in another video!). For more free math videos, visit PatrickJMT.com
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Integral of exp(-x^2) Instructor: Christine Breiner View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
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Double Integrals - Changing Order of Integration - Full Example. Double Integrals - Changing Order of Integration. In this video, I show an example of how to switch the order of integration. I also integrate the function to get the final answer. For more free math videos, visit PatrickJMT.com
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Improper Integral - Infinity in Upper and Lower Limits - In this video, I do an improper integral with positive infinity in the upper limit of integration and negative infinity in the lower limit of integration. For more free math videos, visit PatrickJMT.com
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Example using trig substitution (and trig identities) to solve an integral.
