We can calculate area or volume using integration. Though we divide the irregular shape into infinitesimal rectangles, I think it may not be possible in reality. Does integration give an Accurate or Approximate answer?
Integration - Accurate or Approximate
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calculus
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0What do you mean by "reality"? – 2012-09-24
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0I mean is it really possible to divide a figure into infinite regions? Because as we keep on dividing an irregular shape, always there is some more region waiting to be divided into infinite regions. – 2012-09-24
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2What do you mean by "really possible"? Is this a question about Mathematics, or about human physiology? – 2012-09-24
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0In reality, it is not possible to create a perfect cube. A mathematical cube has volume exactly the cube of the side, but a physical one does not. Similarly for a sphere-the mathematical one has volume exactly $\frac 42 \pi r^3$ but the physical one does not. – 2012-09-24