In this video I go over another example on solving volumes using cylindrical shells. In this example I solve for the volume of the solid formed by rotating the region bounded by y = x - x2 and y = 0 about

In this video I go over the concept of work in terms of the definition of work as the force multiplied by displacement (W = F·d) as well as defining it using integrals as the area under the curve of a

In this video I go over 2 examples on determining the amount of work or energy required in performing an action. In this video first example the force is constant, which is the force of gravity acting

In this video I go over another example on work and this time deal with Hooke's Law. Hooke's Law states that the force required to maintain a spring stretched x units beyond its natural length is proportional

In this video I go over further into infinite sequences and series; and in particular expand upon my earlier video on power series. This time I show how we can represent many functions as power series

In this video I go over another example on determining the amount of work done in moving an object using integrals and this time I look at pulling a rope from the top of a building. In this example, the

In this video I go over another example on calculating work using integrals and solve for the amount of work required in pumping water out of an inverted circular cone. Watch Video On: DTube: BitChute:

In this video I go over another video on the average value of a function and derive the formula for average value using integrals. This is important when averaging out an infinite amount of numbers as

In this video I go over an example on solving for the average value of a function and solve the average value of the function y = 1 + x2 from x = - 1 and x = 2. Watch Video On: DTube: BitChute: YouTube:

In this video I go over the Mean Value Theorem for Integrals which states that for any continuous function from x = a to x = b there exists a number c in that interval such that f(c) is equal to the average

In this video I go over the proof of the mean value theorem for integrals which I covered in my last video. The proof considers a function written as an integral and by applying the original mean value

In this video I go over an example on using the mean value theorem for integrals to first show that there are 2 x-values that correspond to the average value of the function and then I solve for the x-values.

In #MESScience 1, I introduce my latest video series: MES Science Tutorials and continue on my pursuit for understanding true gyroscope physics. Since conventional science doesn’t meet the very high Math

In this video I go over an example on average value and show that the average velocity when defined as the change in position over the change in time is equal to the average of the average velocities or

In this video I go over another Applied Project problem and go about answering the problem of determining the best seat to sit at when at the movie theatre. The applied project problems are from the end

In this video I go over the method of integration by parts which allows the ability to simplify a more complex function to make integration easier. The integration by parts method corresponds to the product

In this video I go over a pretty useful example on solving integrals by the method of integration by parts. The example I cover is the integral of the function x·sin(x) and show how to apply the integration

In this video I go over another example on solving integrals using the method of Integration by Parts. The example involves solving the integral of ln(x). Watch Video On: DTube: BitChute: YouTube: Download

In this video I go over another example on the method of Integration by Parts. In this example I solve the integral of the function t2et and use the method of integration by parts twice because the function

In this video I go over another example on integration by parts and this time solve the integral of the function exsin(x). This is an interesting example in showing that although applying the integration