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Math Help - Changing integral limits?

  1. #1
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    Changing integral limits?

    How did they get from (1) to (2) in this picture? It says "it is easily shown", but I don't quite see it

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  2. #2
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    You don't go from (1) to (2). You go from the first of your integrals to (2).
    Picture it as the area under a curve and slide this say p units to the right.
    The area doesn't change, the limits now go from p-h to p+h and the approximation becomes

    h\Big[f\Big(p-\frac{h}{\sqrt{3}}\Big)+f\Big(p+\frac{h}{\sqrt{3}}  \Big)\Big].

    Now put p-h = a, p+h = b, and solve for p and h in terms of a and b.
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  3. #3
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    Ah, I see, thanks!
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