When we wake up tomorrow, we know that the night has just past and day is creeping upon us. We know this because such event takes place everyday like a broken record. Plays over and over again. Observing such a phenomenon from a mathematical perspective, we say that we are looking at periodic functions.

As we can all remember from Trigonometry, the sine and cosine functions oscillate in a orderly fashion when we look at it graphically. By orderly fashion, I mean to say that we know the trend of the oscillation after observing it for a short period of time. We can also combine them, take the derivative, and integrate such functions to make a whole new function.

For this lab, we observe such periodic functions by calculating the area under the functions. In other words, we evaluate the definite integrals.