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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?

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    What do you mean by "reality"?2012-09-24
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    I 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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    What do you mean by "really possible"? Is this a question about Mathematics, or about human physiology?2012-09-24
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    In 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

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