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 in this case is: sin(2x)cos(5x) Luckily,

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 + h) - f(x) / h Thus: d/dx [sin(x)] = lim_(h

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), we adopt the same approach of integration

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 indeed approach L = 1 when x = 0, although

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 worked solutions of text book problems involving

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 derivation of the reduction formula for the integral

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 the logistic model for population growth to

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 to find the indefinite integral or

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 summing a geometric series, firstly to the

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 and services, such as a cup of coffee gradually

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 geometric sequences. Let's take for example

In this video, we work through the process for deriving the analytical solution to the Logistic Equation formulated by Verhulst for modelling population growth. We first compare the natural (exponential)

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 expressing the geometric mean: t_n^2 = t_(n-1)

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 equation for terms of a geometric sequence: tn =

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 equation for terms of a geometric sequence: tn =

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 process of solving the integral of ∫tan^4(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 exam style questions on vectors, lines and plains.

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 given that the bottle of water is a room temperature

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 of equations for 3 planes: 5x + 2y + 11z =

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 support. 6.5K subscribers and 1.7 million views