You have probably been taught that if you want to find the area under a function / line, you will integrate the equation of the line. But why is it that when you integrate the equation of the line, you get the area underneath the line? Here is a full explanation. p.s. You will need …
So you know how to find the area under a curve using integration.. but what about volume? it’s actually a lot easier than you thought.
A year 12 Maths B / C question that involves integration, exponential functions and acceleration/velocity/displacement. I go through how to do it step by step with explanations.
In this practice question I show you how to use integration to solve a problem where you are given the equation for the velocity of an object and asked to find the displacement of the object and distance travelled by that object over a particular time.
In this lesson we talk about a shortcut for finding the area between 2 curves using a simple integration rule.
In this lesson we talk about how to find the area bounded by 2 curves using definite integrals.
In this lesson we talk about how you can find the area between the curve and the x axis if the curve goes through the x axis.
In this lesson we continue with finding the area under the curve, only this time the curve is below the x axis.
In this lesson we learn how integrating an equation will give us an equation for calculating the area under the curve. We then use definite integrals to find the area under a curve between specific x coordinates.
This is a much easier way to integrate composite functions than U-Substitution. https://www.youtube.com/watch?v=fKO6S7n6IpE