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October 12th, 2012, 03:53 AM   #1
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Changing index of an integral

Hi,

As source i have the gauss quadrature integral:


Now I've seen that, to be able to use that in the range between 0 and , where z is less or equal, i could shift the integral which results in


Now the integral always goes from 0 to z. What do i have to do when i want it to go from x to z something like this:

Do i have to transform the integral again, and how does that exactly work. Or do i have to do this: where i subtract the result of the first integral from the second.

In the end this is to calculate the arc-lengths of the segments of a cubic bezier curve.
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October 14th, 2012, 03:58 PM   #2
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Re: Changing index of an integral

I'm not certain I understand what you are asking. If it helps, with we have
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