The sketch below shows part of the curve with equationy=x2(x+4) . The finite region R1 is bounded by the curve and the negative x -axis. The finite region R2 is bounded by the curve, the positive x-axis and AB , where A = (2,24) and B(b,0) where b>2 . (i) Show that the area of R1 is 643 square units. (ii) If the area of the regions R1 and R2 are equal, find the exact value of b .
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