This is a calculus problem, but the part with which I'm concerned is probably more appropriate in this forum.

Ok, I need to find the area bounded by these two equations:

and

First, I need to find the points at which they intersect so I can find the limits of integration. So making them equal to each other, and rearranging:

Now, by looking at the graph, I can tell that the two intersect at and . However, can this be solved explicitly? Or do I need to use something like Newton's method to find these values?

Thanks!