#dtube-calculus

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masterwu

9y

DTube: Integral of sin^3(x), sin^3(ax) with substitution and trigonometric identity

DTube: Integral of sin^3(x), sin^3(ax) with substitution and trigonometric identity

In this tutorial, we'll work through 2 different approaches to solving the integral of sin3(ax). Now, there maybe more ways of approaching this problem, but these were the most obvious to me. Using a

$ 0.194

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masterwu

9y

DTube: The math behind your Camping Torch with dy/dx = -ky

DTube: The math behind your Camping Torch with dy/dx = -ky

We can apply the principle of exponential decay to find equations that model the charge remaining in a capacitor as it is discharged through a resistor. The circuit diagram is shown below... When the switch

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masterwu

9y

DTube: Integral of ∫√(a^2 - x^2)dx using a Trigonometric Substitution

DTube: Integral of ∫√(a^2 - x^2)dx using a Trigonometric Substitution

What I love about mathematics is some of the very creative and ingenious methods that someone has come up with to find solutions to perplexing problems. The integral of √(a2 - x2) is a great example one

masterwu

9y

DTube: Modelling the Decay of Nuclear Medicine with dy/dx = -ky

DTube: Modelling the Decay of Nuclear Medicine with dy/dx = -ky

Inasmuch as the differential equation dy/dx = ky models exponential growth, it follows that dy/dx = -ky models exponentially decaying processes. A exponential decay process, which is a slowing reduction

darth-azrael

2d

Vintage Photos - Lot 6 (453-456)

Vintage Photos - Lot 6 (453-456)

The photos in this set were taken in the late 1960s and early 1970s. A couple were likely taken in the Lansing, Michigan area but a couple appear to have been taken on a vacation which included a trip

masterwu

9y

DTube: Modelling Exponential Growth of Bacteria with dy/dx = ky

DTube: Modelling Exponential Growth of Bacteria with dy/dx = ky

With the differential equation dy/dx = ky, we found the general solution to be y(x) = Aekx. We worked this out in my last post. This equation lends itself to the modelling of exponential growth. Now in

masterwu

9y

DTube: Separable Differential Equations: dy/dx = ky

DTube: Separable Differential Equations: dy/dx = ky

In this video, we work through the process of solving for the general solution of a simple separable differential equation: The general solution is obtained by separating the variables so that all y's

masterwu

9y

DTube: Introduction to Differential Equations

DTube: Introduction to Differential Equations

Differential Equations are one of the most useful tools developed in mathematics. You'll see them everywhere in Engineering, Physics, Biology, etc. for the modelling of phenomena. So what are differential

masterwu

9y

DTube: Integral of ∫1/(a^2 + x^2)

DTube: Integral of ∫1/(a^2 + x^2)

The term 1/(a2 + x2) is purely algebraic. However, its integral is trigonometric. When you look this up in a table of integrals, you'll find the integral: ∫1/(a2+x2)dx = (1/a)arctan(x/a) + C How is this

manuelgil64

Feathered Friends

1d

Show Me a Photo Contest SMaP - Round 289: Free Theme [ENG/ESP]

Show Me a Photo Contest SMaP - Round 289: Free Theme [ENG/ESP]

"Everyone likes birds. What wild creature is more accessible to our eyes and ears, as close to us and everyone in the world, as universal as a bird?” David Attenborough Show Me a Photo Contest SMaP

masterwu

9y

DTube: Reduction Formula for Integral of ∫cos^n(x)dx

DTube: Reduction Formula for Integral of ∫cos^n(x)dx

In this video, we work through the derivation of the reduction formula for the integral of cosn(x) or [cos(x)]n. The first step is to rewrite the integral as: ∫cosn(x)dx = ∫cosn-1(x)cos(x)dx Thus we have

masterwu

9y

DTube: Integral of ∫cos^3(x)dx

DTube: Integral of ∫cos^3(x)dx

In this video, I work through the steps to solving the integral of cos3(x) or [cos(x)]3. Note that because cos(x) is a function of x, not a mere polynomial, we can't just use the power formula as a method

eroavromninocule

9y

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Derivatives of Exponents Part One - A Calculus Math Tutorial

Derivatives of Exponents Part One - A Calculus Math Tutorial

Watch Derivatives of Exponents Part One - A Calculus Math Tutorial video on DTubeIn this excerpt from the derivatives of whole number exponents (1,2,3,4,5.....) are explained through geometry. This short

eroavromninocule

9y

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Derivative of an Inverse Function - A Calculus Math Tutorial

Derivative of an Inverse Function - A Calculus Math Tutorial

Watch Derivative of an Inverse Function - A Calculus Math Tutorial video on DTubeIn this excerpt from we show a derivative of a function which is an inverse of some original function. This short but very

cmpablo22

4h

[Anime] Jujutsu Kaisen:is the best shonen of recent times?[ENG/ESP]

[Anime] Jujutsu Kaisen:is the best shonen of recent times?[ENG/ESP]

Would you dare to eat a cursed object to help your friends? ¿Te atreverías a comer un objeto maldito para ayudar a tus amigos? This review is spoiler-free and focuses on the beginning of the series.. Esta

eroavromninocule

9y

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Derivatives of Functions Within Functions - A Calculus Math Tutorial

Derivatives of Functions Within Functions - A Calculus Math Tutorial

Watch Derivatives of Functions Within Functions - A Calculus Math Tutorial video on DTubeExcerpt from In this brief video the derivatives of functions within functions are described through geometry. This

eroavromninocule

9y

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Derivatives of Division - A Calculus Math Tutorial

Derivatives of Division - A Calculus Math Tutorial

Watch Derivatives of Division - A Calculus Math Tutorial video on DTubeIn this excerpt from we show a derivative of a function that is composed of two divided functions is explained through geometry. This

eroavromninocule

9y

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Derivatives of Multiplication - A Calculus Math Tutorial

Derivatives of Multiplication - A Calculus Math Tutorial

Watch Derivatives of Multiplication - A Calculus Math Tutorial video on DTubeIn this excerpt from we show a derivative of a function that is composed of two multiplied functions is explained through geometry.

eroavromninocule

9y

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Derivatives of Sin, Cos, Tan Trigonometry - A Calculus Math Tutorial

Derivatives of Sin, Cos, Tan Trigonometry - A Calculus Math Tutorial

Watch Derivatives of Sin, Cos, Tan Trigonometry - A Calculus Math Tutorial video on DTubeIn this excerpt from a derivatives of trigonometric functions sin, cos, and tan are explained through geometry.

androshchuk

12h

Анатомія незручної правди, або як Ерік Блер став Орвеллом

Анатомія незручної правди, або як Ерік Блер став Орвеллом

Ерік Блер, Орвелл, пережив Бірму, злидні, Іспанію. Його пильність до мови та влади розкриває механіку брехні систем.

eroavromninocule

9y

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Definition of Derivatives - A Calculus Math Tutorial

Definition of Derivatives - A Calculus Math Tutorial

Watch Definition of Derivatives - A Calculus Math Tutorial video on DTubeIn this excerpt from the definition of the derivative is described through geometry. Derivatives are a basic concept of calculus

eroavromninocule

9y

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Derivatives of Addition - A Calculus Math Tutorial

Derivatives of Addition - A Calculus Math Tutorial

Watch Derivatives of Addition - A Calculus Math Tutorial video on DTubeIn this excerpt from we show a derivative of a function that is composed of two added functions is explained through geometry. This