Archive for the ‘calculus’ Category
What is integration ?
Well in two variables, integrating is something you do to a function over a given range to generate a new function which will give us the area under the curve of the function..
lets think about areas under lines: its easy to find the area under a simple graph like y=5 between 1 and 8
Have you ever wondered how to find out the volume of an egg ? The volume of a cube is easy enough… a^3 where a is the side length, but calculations involving curves rather than straight lines seem to be a bit harder.
The branch of maths that deals with finding stuff about curves out is called calculus, and we’ll start to look at it here.
you may know that the equation of a straight line can be given as:
where c is the y-intercept and m is the gradient. The gradient is defined as the rise over the run… the change in y over the change in x, so for a line like