The ∫ x² dx Challenge -- Integration WITHOUT the Power Rule

Can you solve this integral without the power rule? Be creative. Share you solutions in the comments. This is a response to BlackPenRedPen's video, https://youtu.be/XjK8gff5vtQ. I've uploaded my response BEFORE seeing his solution. After you've seen my solution, check out BPRP's solution. (Or vice versa) Read up on this here: https://medium.com/mathadam/can-you-solve-the-x%C2%B2-dx-challenge-c85d5d5641b0 ... https://www.youtube.com/watch?v=zEe45gZDjbE