Ordinary differential equations | Differential geometry

Integral curve

In mathematics, an integral curve is a parametric curve that represents a specific solution to an ordinary differential equation or system of equations. (Wikipedia).

Integral curve
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What is an integral and it's parts

๐Ÿ‘‰ Learn about integration. 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 the upper and the lower li

From playlist The Integral

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Dirichlet Eta Function - Integral Representation

Today, we use an integral to derive one of the integral representations for the Dirichlet eta function. This representation is very similar to the Riemann zeta function, which explains why their respective infinite series definition is quite similar (with the eta function being an alte rna

From playlist Integrals

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Find the area enclosed by the two curves using two integrals

Keywords ๐Ÿ‘‰ 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 indefinite integral or as a definite integral. A definite integral is an integral in

From playlist Evaluate Integrals

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How to take the integral of tangent

๐Ÿ‘‰ 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

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Apply u substitution to a polynomial

๐Ÿ‘‰ 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

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How to use u substitution to find the indifinite integral

๐Ÿ‘‰ 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

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Find the area enclosed by the two curves using your calculator

Keywords ๐Ÿ‘‰ 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 indefinite integral or as a definite integral. A definite integral is an integral in

From playlist Evaluate Integrals

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Integrate the a rational expression using logarithms and u substitution

๐Ÿ‘‰ 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

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Find the area enclosed by the two curves

Keywords ๐Ÿ‘‰ 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 indefinite integral or as a definite integral. A definite integral is an integral in

From playlist Evaluate Integrals

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Wei Ho, Integral points on elliptic curves

VaNTAGe seminar, on Oct 13, 2020 License: CC-BY-NC-SA. Closed captions provided by Rachana Madhukara.

From playlist Rational points on elliptic curves

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Integration over curves (line integrals)

Free ebook http://tinyurl.com/EngMathYT An introduction on how to integrate over curves. The ideas involve integration with respect to the arc length and have important applications, including the mass of thin wires.

From playlist Engineering Mathematics

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Part I: Complex Variables, Lec 5: Integrating Complex Functions

Part I: Complex Variables, Lecture 5: Integrating Complex Functions Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Calculus Revisited: Calculus of Complex Variables

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The Divergence Theorem, a visual explanation

This video talks about the divergence theorem, one of the fundamental theorems of multivariable calculus. The divergence theorem relates a flux integral to a triple integral. Green's Theorem: https://youtu.be/8SwKD5_VL5o Line Integrals: https://youtu.be/dnGDmZynvYY Follow Me! https://i

From playlist Multivariable Calculus

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Intro to line integrals

Free ebook http://tinyurl.com/EngMathYT A basic lecture on line integrals involving vector fields. We discuss the motivation for their study and present some examples.

From playlist Engineering Mathematics

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Worldwide Calculus: Green's Theorem

Lecture on 'Green's Theorem' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Integration and Vector Fields

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Integration by Parts and Areas under Curves | Algebraic Calculus One | Wild Egg

We start with a purely algebraic Integration by Parts formula, which is a consequence of the Product Rule for Faulhaber Derivatives. Then we apply this to the Fundamental Theorem to get two asymmetric versions of it. Looking at the geometrical significance following a favourite picture o

From playlist Algebraic Calculus One

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How to find the integral of an exponential function using u sub

๐Ÿ‘‰ 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

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