Anti-derivitives
Antiderivitives  Inverses  Quadratic  Derivatives Reciprocals

    On the graphs of the anti derivative you will notice similar symmetry to the original graphs. The four sets of two graphs from the original functions that had symmetry over the x axis are now rotations around the origin of 180 degrees.  The slightly different thing here to observe is that four graphs have a extra hump, while the other four look like a more basic x^3 graph.  At first this puzzled me until I thought about what does the anti derivative mean.  It means the area under the curve in total to the x-axis.  If you go and look at the original graphs there are four that are always going to be always increasing or decreasing total area and then there are four that will vary back and fourth as they cross the x-axis and that area is deemed negative when computing integrals.  So when it switches from adding to subtracting area it will give you a maximum or minimum on this graph.