masterwu

[DTube] Integral of ∫sin(2x)cos(5x)dx with Product to Sum Formula

In this video, we work through the integral of ∫sin(2x)cos(5x)dx. The first step when performing any integral is to see if we can simplify the integrand, which ...

[DTube] Proof the derivative of sin(x) = cos(x) by First Principles

In this video, we prove that the derivative of sin(x) equals cos(x) by the very definition of the derivative, which is: df/dx = f'(x) = lim(h approaches 0) f(x ...

[DTube] Reduction Formula for Integral of ∫ln^n(x)dx

In this video, we work through the derivation of the reduction formula for the integral of lnn(x) or [ln(x)]n. Like with lower powers of ln(x), such as ln2(x), ...

[DTube] Limit of sin(x)/x as x approaches 0: Geometric Proof

In this video, we work through a geometric proof for the limit of sin(x)/x as x approaches 0. You may have visually inspected and tabulated that sin(x)/x does i...

[DTube] Example Problem Solving Exercises for Geometric Series

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, I take you through 3 worke...

[DTube] Reduction Formula for Integral of ∫sin^n(x)dx

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we work through the deriva...

[DTube] Modelling Population Growth with the Logistic Model: IVP

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we use our knowledge of th...

[DTube] Integral of ∫dx/sqrt(1-x^2)

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we work through the steps ...

[DTube] Geometric Series: Deriving the Summation Formulas

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain In this video, we derive the formulas for ...

[DTube] Modelling Price Inflation with Geometric Sequences

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. You may have noticed that prices of goods...

[DTube] What are Geometric Sequences?

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, I introduce the concept of...

[DTube] The Logistic Differential Equation for Population Growth: General Solution

In this video, we work through the process for deriving the analytical solution to the Logistic Equation formulated by Verhulst for modelling population growth....

[DTube] Geometric Sequences: The Geometric Mean

In this video, we take looking into the Geometric Mean, which is simply the middle term of 2 successive terms of a Geometric Sequence. We derive the formula for...

[DTube] Geometric Sequences: Find the first term and common ratio

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we use the general equatio...

[DTube] Geometric Sequences: Find the 4th term given the 7th term

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we use the general equatio...

[DTube] Integral of ∫tan^4(x)dx using the Reduction Formula

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we work through the proces...

[DTube] Lines and Planes: Vector and Dot product forms: Linear Algebra

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we work through exam style...

[DTube] Newton's Law of Cooling - First Order Differential Equations

In this video, we derive Newton's Law of Cooling and use it to determine how fast a bottle of water cools when it is placed inside of a refrigerator. We are giv...

[DTube] Linear systems - 3 Intersecting Planes - No unique solutions

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we solve a linear system o...

[DTube] Mixing Salt and Water - First Order Differential Equations

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. My 200th YT Video! Thank you for your sup...