ABSTRACT

The name given to the process of reconstructing an original function from its derivative is integration. In other words, integration is the operation that must be performed to undo the effects of differentiation. The arbitrary constant introduced by the process of integration can usually be determined if enough information is supplied. The best way to get the hang of the integration rule is by tackling some examples of different power functions. To act as a reminder that the readers are dealing with a definite integral, the convention is that the result of the integration process should be enclosed in square brackets, with the limits of integration written immediately to the right of the closing bracket, once again with the value of the upper limit at the top and the lower limit below. A graphical understanding of integration is also useful for illustrating the effect of setting the upper and lower limits of a definite integral equal to each other.