- published: 20 Jan 2015
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In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function f of a real variable x and an interval [a, b] of the real line, the definite integral
is defined informally as the signed area of the region in the xy-plane that is bounded by the graph of f, the x-axis and the vertical lines x = a and x = b. The area above the x-axis adds to the total and that below the x-axis subtracts from the total.
Roughly speaking, the operation of integration is the reverse of differentiation. For this reason, the term integral may also refer to the related notion of the antiderivative, a function F whose derivative is the given function f. In this case, it is called an indefinite integral and is written:
The integrals discussed in this article are those termed definite integrals. It is the fundamental theorem of calculus that connects differentiation with the definite integral: if f is a continuous real-valued function defined on a closed interval [a, b], then, once an antiderivative F of f is known, the definite integral of f over that interval is given by
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Wie bilde ich ein Integral? Dafür benötigst du die Stammfunktion und kannst dann die Fläche unter eine Kurve berechnen. Wir erklären euch an einfachen Beispielen das Integrieren und ihr lernt außerdem was die Leibniz Schreibweise ist und wie man ein Integral mathematisch korrekt aufschreibt. Unsere App für Apple downloaden: http://on.thesimpleclub.de/iosapp Die App für Android downloaden: http://on.thesimpleclub.de/googleplay Zur #TheSimpleApp: http://on.thesimpleclub.de Kategorie: Abitur Hier kommst du direkt zum nächsten Video: http://bit.ly/1Si5pet » ALLE KANÄLE Mathe: https://www.youtube.com/TheSimpleMaths Biologie: http://www.thesimplebiology.de Physik: http://www.thesimplephysics.de Chemie: http://www.thesimplechemics.de Wirtschaft: http://www.thesimpleeconomics.de » MEHR VON ...
Inscreva-se no meu CANAL para receber as aulas GRÁTIS SITE: http://www.omatematico.com/ A venda aulas gravadas DVD: http://www.lojaomatematico.com.br/ ESTUDAR nunca foi tão fácil! CONTEÚDO: O símbolo ∫ é usado para indicar uma integral em matemática. -1a regra: ∫ dx = x + c onde: c= constante no tempo do vídeo 35s - 2a regra: ∫ x^p dx = x^p+1/p+1 + c onde: ^ ( lê-se elevado) c= constante no tempo do vídeo 42s - Exemplo 1: 2 exercícios utlizando as 2 regras de integrais no tempo do vídeo 1min 36s * Exercício 1: ∫ dx no tempo do vídeo 1min 43s * Exercício 2: ∫ x³ dx no tempo do vídeo 2min 13s - Exemplo 2: ∫ 3x^4 dx onde: ^ ( lê-se elevado) no tempo do vídeo 3min 25s - Exercício 3: ∫(4 x^5 + 7) dx onde: ^ ( lê-se elevado) nesse exercício será mostrado como resolver a integral de...
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AB ZUM GEILEREN REMAKE: http://bit.ly/BesserIntegrieren Diesmal geht es um die Bildung des Integrals. Dafür benötigst du die Stammfunktion und kannst dann die Fläche unter eine Kurve berechnen. Du lernst außerdem was die Leibniz Schreibweise ist und damit wie du ein Integral mathematisch korrekt aufschreibst. Kategorie: Abitur » ALLE KANÄLE Wirtschaft: http://www.thesimpleeconomics.de Mathe: https://www.youtube.com/TheSimpleMaths Biologie: http://www.thesimplebiology.de Physik: http://www.thesimplephysics.de Chemie: http://www.thesimplechemics.de » MEHR VON UNS Twitter: http://www.twitter.com/thesimpleclub Facebook: http://fb.thesimpleclub.de Alex auf Instagram: http://alex.thesimpleclub.de Nico auf Instagram: http://nico.thesimpleclub.de » WAS IST THE SIMPLE CLUB? Wir sind der Mei...
Please consider supporting me on Patreon! Be a Patron of Mathematics! https://www.patreon.com/patrickjmt?ty=h Buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website: http://patrickjmt.com/ https://twitter.com/patrick_jmt Basic Integration of Indefinite Integrals. For more free math videos, visit http://PatrickJMT.com
Mais vídeo aulas: http://www.projetoplin.com.br/calculo-1/ Neste vídeo explicamos a origem intuitiva de integral a partir de um programa básico de cálculo de área. Exemplo de uma aplicação prática que todos nos realizamos.
To get more help with calculus, check out: https://www.calculusexpert.com/ Understand the definition of the integral and learn how to find the area underneath the curve. Review a basic indefinite integral example using a polynomial function.
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Link para el formulario: https://www.youtube.com/watch?v=pr9inHBxtq0 En este video, aprenderás como integrar de la manera más fácil. Si tienen algún problema en alguna integral, no duden en contactarme.
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Listen to the full audiobook: http://copydl.space/mabk/30/en/B00DOI12VG/audiobook Discover the freedom and fullness of spirit unfolding today. If the Buddha, Saint Teresa, or an enlightened shaman walked into the room today, would they find themselves in need of some serious spiritual catching up? The surprising answer, says Ken Wilber, is yes. Integral evolutionary thinkers today are seeing a burst of accelerating shifts in human consciousness: in our emotional and cognitive lines of intelligence, our creative and moral capacities, our sense of self, and more. And as this landscape of knowledge grows, so does the potential of our own spiritual lives in ways that even meditation and other inward practices alone cannot provide. What is the evidence for this upward spiral in our spiritual in...
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Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral
MIT grad shows how to do integration using u-substitution (Calculus). To skip ahead: 1) for a BASIC example where your du gives you exactly the expression you need in order to substitute, skip to time 1:30. 2) For an example where you have to REARRANGE THE DU by multiplying or dividing because the du has a different number or sign than what you need, skip to time 8:21. 3) For one where you have to REARRANGE THE U by subtracting or adding because the du expression cannot give you the expression you need, skip to 17:15. 4) For u-substitution with TRIG (SIN/COS) and the power rule, skip to 22:35. With all u-substitution integration problems: The FIRST STEP is to pick your "u". The best choice is usually the longer x-expression that is inside a power or a square root or the denominator, etc ...
Matematik - 2 Lys konusu olan integral ekol hocanın anlatımından videolu olarak eklenmişitir. integral1, integral2, integral3 bütün videolar tek parça haline getirilmiştir.Lys integral soru çözümleri, videolu ders integral **** Video içerisinde **** DİFERANSİYEL KAVRAMI BELİRSİZ İNTEGRAL İNTEGRAL ALMA KURALLARI İNTEGRAL ALMA YÖNTEMLERİ
Inscreva-se no meu CANAL p/ receber as aulas GRÁTIS SITE: http://www.omatematico.com/ Aulas em DVD: http://www.lojaomatematico.com.br/ ESTUDAR nunca foi tão fácil ! CONTEÚDO: O que é a integral por partes ? Confira no tempo (0:19) - Qual a melhor escolha para u e dv ? Descubra no tempo (0:59) - Palavras que auxiliam nessa escolha : LIATE ou ILATE no tempo (1:25) - Exemplos: no tempo (0:23) ∫ x². sen(x) dx ∫ ln(x). tg(x) dx - Técnica usada: separar em u e dv ∫ u . dv = u. v - ∫ v.du no tempo(0:41) - Qual ≠ entre LIATE e ILATE ? no tempo (1:49) - Explicação da LIATE com exemplos no tempo (2:35) - Exemplo: Resolva a integral ∫ x.sen(x) dx no tempo (3:39) - A Escolha do “u” deve ser da esquerda para direita no tempo (3:52) - Exemplo: Resolva a integral ∫ x.e^x dx (onde ...
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Propriedades da Integral Aula do curso regular de graduação do Departamento de Matemática, Instituto de Matemática, Estatística e Computação Científica da Unicamp, primeiro semestre de 2012, com o Professor Renato Pedrosa.
5 exercícios de integrais, revisando operações com potências, radiciação, m.m.c. Inscreva-se no meu CANAL p/ receber as aulas GRÁTIS SITE: http://www.omatematico.com/ Aulas em DVD: http://www.lojaomatematico.com.br/ ESTUDAR nunca foi tão fácil ! CONTEÚDO: EXERCÍCIO 1: ∫ dx /x³ no tempo (0:22) * Lembrando propriedade usada no ensino fundamental: a^-p = 1/a^p (onde: ^ lê-se: elevado a) no tempo (0:23) Videoaula de operação com POTÊNCIAS : http://bit.ly/1Js0ncd no tempo (20:45 - Resumo das propriedades ) - Integral de uma potência: ∫ x^p dx = x^p+1/p+1 + c onde p ≠ -1 (onde ^ lê-se: elevado a) no tempo (0:57) TABELA de Integrais: http://bit.ly/1OJIyqe Integral de uma potência: propriedade 1 EXERCÍCIO 2: ∫ dx /x no tempo (2:18) Lembrando que ao aplicar essa proprieda...
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If you've done nothing wrong
You've got nothing to fear
If you've something to hide
You shouldn't even be here
Long live us
The persuaded we
Integral
Collectively
To the whole project
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Conceived solely
To protect you
One world
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One season
If you've done nothing wrong
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If you've something to hide
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If you've changed your mind
I'm afraid it's too late
We're concerned
You're a threat
You're not integral
To the project
Sterile
Immaculate
Rational
Perfect
Everyone has
Their own number
In the system that
We operate under
We're moving to
A situation
Where your lives exist
As information
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One reason
All under
One sky
Unchanging
One season
If you've done nothing wrong
You've got nothing to fear
If you've something to hide
You shouldn't even be here
You've had your chance
Now we've got the mandate
If you've changed your mind
I'm afraid it's too late
We're concerned
You're a threat
You're not integral
To the project
One world
One life
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All under
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Unchanging
One season
If you've done nothing wrong
You've got nothing to fear
If you've something to hide
You shouldn't even be here
You've had your chance
Now we've got the mandate
If you've changed your mind
I'm afraid it's too late
We're concerned
You're a threat
If you've done nothing wrong
You've got nothing to fear
If you've something to hide
You shouldn't even be here
We're concerned
You're a threat
You're not integral
To the project
Sterile
Immaculate
Rational