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.