Volume calculations

The formula we used in order to calculate the aproximate volume of the piece printed was the one we saw on module 4 "volume by disks for rotation about the x-axis". Since it was an addition of three functions we treated them separately and integrated each one in the corresponding formula. 

So when calculating the first volume we encountered our first complication which was a natural logarithm squared but with a diferent argument as the ones seen in class. There were several ways to solve this problem, the first one was by "u" substitution and integration by parts, but also you could solve it by using integration by parts, then improper and proper fraction, these were topics seen in modules 5 and 6 in which we discussed integration techniques. The rest of the integrals were quite easy and almost made by an automatic process, by using trigonometry integration techiniques and "u" substitution. These complications were the same presented on the other process so you could take these in count for that process too.