Here's the problem:

Find the area of a plane region bounded by y=x^3 and its tangent line through (1,1).

So far I have the graph on my graphing calc, so I have an idea at what I'm looking at. I found the tangent line to y=x^3 to be y=3x-2. Now I am stuck. I am trying to find the area that it's bound by. Am I supposed to make it x^3=3x-2 so I can get the points they intersect at? Any help would be greatly appreciated.

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