>>7067206So imagine you have a graph containing a curved line (or any line really). If you want to find the rate of change in the slope of the line, you take the derivative.
As an example, the derivative of y= x is 1 because the graph is sloping upwards at a constant rate of 1.
Now imagine you have a graph with a line and you want to determine the area underneath it, that would be the integral (opposite of derivative). You just reverse the derivative method to do so. (Integral of 1 is x).
This math is very useful because it appears all over in engineering and nature. The most popular use of it is in physics. The integral of acceleration is velocity. The integral of velocity describes position.