#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

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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

7d

Byte: The Small Systems Journal (June 1979)

Byte: The Small Systems Journal (June 1979)

Byte was one of the earliest home computer magazines. the June 1979 issue includes:

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

m16uellop

7h

Parada iluminada /Fotografías con historias oscuras / iniciativa

Parada iluminada /Fotografías con historias oscuras / iniciativa

Desde hace dos meses donde vivo están haciendo una parada del bus que es muy misteriosa, muy lujosa para el lugar donde está, el Mercado Municipal de Quinta Crespo; para hacerla están usando hasta mármol

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

hirohurl

7d

The Hive Regiment of the Satsman Army

The Hive Regiment of the Satsman Army

A Rollcall of Hivers who have joined Satsman.com

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.

forykw

9h

PowerUp 💪 October 2026 - The Return of the Rebel Alliance

PowerUp 💪 October 2026 - The Return of the Rebel Alliance

(this is the #54 giveaway enabled post - check the giveaway details below) This 💓 post has a 💎 GIVEAWAY

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