October 12th, 2012, 03:53 AM  #1 
Newbie Joined: Apr 2012 Posts: 8 Thanks: 0  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 arclengths of the segments of a cubic bezier curve. 
October 14th, 2012, 03:58 PM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  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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