At what point to the curves $y=ax$, $y=a/x$, and $y=x^3/a$ Intersect with one another when a>0 Hi this has been bugging me for a while now I have the answers however they only detail the points I have so far been  unable to figure out how to find these points. Image of problem with arrows to unknown points 

Find three pairs intersection  points pairwise, let them  be
$$ ( x_{12},x_{23}, x_{31} )$$
each between 
$$ ( x_1(y), x_2 (y)) ,...,... $$ 
Find $ \int (x_2-x_1) dy ,\int (x_3-x_2) dy $ and add them up.
