We have seen that sometimes an elementary antiderivative, function formula cannot be found in certain cases. For example, we cannot find an antiderivative function formula for the function f(t) = e . However, this does not mean that an antiderivative does not exist! We can explore the antiderivative function using numerical and graphical representations. In this Integral Functions Assignment, you will do just that! The Si Function sin t Another example of a function that has no elementary antiderivative function formula is the function f (t) = Because of its t importance in electrical engineering the sine integral function, Si(x) , is defined as: x Si(x) sint dt . t Part 1 sin t We know that f (t) = is not defined when t = 0 . By taking the limit as t -> 0, define f (0) in such a way that makes f (t) sin t continuous everywhere. In other words, define f (t) to be a continuous, piecewise function. Begin your assignment by t showing the results of your work