Lobachevsky's integral formula and a nice application.
We present a proof of Lobachevsky's integral formula and apply it to calculate two integrals: sin(x)/x and abs(sin x)sin(x)/x. Our method involves using a Fourier expansion. Playlist: https://youtube.com/playlist?list=PL22w63XsKjqzJpcuD6InKWZXep2L0z1H8 Please Subscribe: https://www.youtu
From playlist Interesting Integrals
Definite Integral Using Limit Definition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definite Integral Using Limit Definition. In this video we compute a definite integral using the limit definition.
From playlist Calculus
Definite Integrals Defined w. Riemann Limit of Sums Example Calculus 1 AB
I introduce the Definite Integral, explain the definition, and work through an example of using the Definite Integral notation and Riemann Sum to find the area bound by a function and the x axis on a closed interval. Find free review test, useful notes and more at http://www.mathplane.com
From playlist Calculus
10. Introduction to Non-Euclidean Spaces
MIT 8.286 The Early Universe, Fall 2013 View the complete course: http://ocw.mit.edu/8-286F13 Instructor: Alan Guth In this lecture, the professor reviewed the dynamics of homogeneous expansion and introduced non-Euclidean spaces. License: Creative Commons BY-NC-SA More information at ht
From playlist The Early Universe by Prof. Alan Guth
Gaussian Integral 8 Original Way
Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I present the classical way using polar coordinates, the one that Laplace original
From playlist Gaussian Integral
Ex 2: Area Under a Linear Function Using Definite Integration
This video provides a basic example of how to determine the area under a function using definite integration. Search Video Library at www.mathispower4u.wordpress.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
Alexander Bufetov: Determinantal point processes - Lecture 1
Abstract: Determinantal point processes arise in a wide range of problems in asymptotic combinatorics, representation theory and mathematical physics, especially the theory of random matrices. While our understanding of determinantal point processes has greatly advanced in the last 20 year
From playlist Probability and Statistics
Vladimir Bazhanov: Quantum geometry of 3-dimensional lattices
Abstract: In this lecture I will explain a relationship between incidence theorems in elementary geometry and the theory of integrable systems, both classical and quantum. We will study geometric consistency relations between angles of 3-dimensional (3D) circular quadrilateral lattices — l
From playlist SMRI Seminars
The (Unreasonable) Effectiveness of (Hyperbolic) Geometry - Igor Rivin
Igor Rivin Temple University; Member, School of Mathematics March 16, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Universal Hyperbolic Geometry 0: Introduction
This is the introductory lecture to a series on hyperbolic geometry which introduces a radically new and improved way of treating the subject, making it more algebraic and logical, with improved computational power and many new theorems. In this lecture we summarize the differences betwe
From playlist Hyperbolic Geometry - N J Wildberger
Trigonometric dual laws and the Parallax formula | Universal Hyperbolic Geometry 32 | NJ Wildberger
This video introduces a simple universal analog (called the Right parallax formula) to the Angle of parallelism formula found by N. Lobachevsky and J. Bolyai in classical hyperbolic geometry. First we establish the dual laws of the main trigonometric laws for Universal Hyperbolic Geometry
From playlist Universal Hyperbolic Geometry
(1.1) Solutions to Differential Equations as Integrals: Form y'(x)=f(x)
This video explains how to determine solutions to differential equations in the form of y'=f(x) as definite integrals. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
The History of Non-Euclidean Geometry - A Most Terrible Possibility - Extra History - #4
In the early 19th century, people started to wonder if the Fifth Postulate couldn't be proven at all--meaning that it could be right, but it could also be wrong. Bolyai, Lobachevsky, and Riemann started exploring hyperbolic geometry and other strange realms... Support us on Patreon! http:/
From playlist Extra History: Chronological Order (1700 CE - Present)
The Definition of The Definite Integral
This video defines a definite integral and provides examples of how to evaluate definite integral using area above and below the x-axis. Site: http://mathispower4u.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
Tom Lehrer: The Moonlighting Mathematician Part 2
Part 2 of my talk. A biography of Tom Lehrer.
From playlist Tom Lehrer: The Moonlighting Mathematician
In this video, I evaluate the integrals of x^x and x^(-x) from 0 to 1. Although there is no explicit formula for this integral, I will still evaluate it as a series, and the answer is very pretty! Enjoy!
From playlist Integrals
Gaussian Integral 7 Wallis Way
Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a technique that is very similar to the
From playlist Gaussian Integral
13. Non-Euclidean Spaces: Spacetime Metric and Geodesic Equation
MIT 8.286 The Early Universe, Fall 2013 View the complete course: http://ocw.mit.edu/8-286F13 Instructor: Alan Guth In this lecture, the professor reviewed open universe metric; discussed the differences between open universe and closed universe; and talked about spacetime metric. Licens
From playlist The Early Universe by Prof. Alan Guth
Find the integral with a given condition
👉 Learn how to find the particular solution to 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
From playlist The Integral