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 P: 167 I'm confused here.. My definite integral doesn't match by Riemman Sum... and it should right? I think that I have not integrated correctly. Can someone help me spot the problem? Thanks. Find the Area of the region bounded by: $$f(x)=5-x^2$$ , [-2, 1] Using the Riemma Sum idea (limit of the sum of rectangles as the number of rectangles approaches infinity), I got 12 units^2 as my area, which is correct. However, using definite integrals and the Fundamental Theorem of Calculus, I get: $$\int_{-2}^{1} (5-x^2)dx}$$ $$=-\frac{x^3}{3}\biggl] ^{1}_{-2}$$ Which equals -3 ???