New: dtube-calculusAll contenthive-129948hive-196917krsteemzzanhive-183959hive-166405hive-180932hive-150122hive-185836uncommonlabphotographylifehive-183397hive-144064bitcoinhive-188619hive-139150hive-101145hive-124908krsuccesshive-103599hive-180301hive-109690hive-184714TrendingNewHotLikersmasterwu (59)in dtube • 7 years agoDTube: Integral of sin^3(x), sin^3(ax) with substitution and trigonometric identityIn 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.…masterwu (59)in dtube • 7 years agoDTube: The math behind your Camping Torch with dy/dx = -kyWe 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...…masterwu (59)in dtube • 7 years agoDTube: Integral of ∫√(a^2 - x^2)dx using a Trigonometric SubstitutionWhat 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…masterwu (59)in dtube • 7 years agoDTube: Modelling the Decay of Nuclear Medicine with dy/dx = -kyInasmuch 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…masterwu (59)in dtube • 7 years agoDTube: Modelling Exponential Growth of Bacteria with dy/dx = kyWith 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.…masterwu (59)in dtube • 7 years agoDTube: Separable Differential Equations: dy/dx = kyIn 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…masterwu (59)in dtube • 7 years agoDTube: Introduction to Differential EquationsDifferential 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…masterwu (59)in dtube • 7 years agoDTube: 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…masterwu (59)in dtube • 7 years agoDTube: Reduction Formula for Integral of ∫cos^n(x)dxIn 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…masterwu (59)in dtube • 7 years agoDTube: Integral of ∫cos^3(x)dxIn 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…eroavromninocule (25)in dtube • 7 years agoDerivatives of Exponents Part One - A Calculus Math TutorialWatch 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…eroavromninocule (25)in dtube • 7 years agoDerivative of an Inverse Function - A Calculus Math TutorialWatch 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…eroavromninocule (25)in dtube • 7 years agoDerivatives of Functions Within Functions - A Calculus Math TutorialWatch 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…eroavromninocule (25)in dtube • 7 years agoDerivatives of Division - A Calculus Math TutorialWatch 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…eroavromninocule (25)in dtube • 7 years agoDerivatives of Multiplication - A Calculus Math TutorialWatch 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…eroavromninocule (25)in dtube • 7 years agoDerivatives of Sin, Cos, Tan Trigonometry - A Calculus Math TutorialWatch 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…eroavromninocule (25)in dtube • 7 years agoDefinition of Derivatives - A Calculus Math TutorialWatch 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…eroavromninocule (25)in dtube • 7 years agoDerivatives 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…