Hi, I'm working on an independent research project - and am trying to integrate this (with respect to x between some arbitrary m and infinite).(adsbygoogle = window.adsbygoogle || []).push({});

http://www.wolframalpha.com/input/?i=+x+=(t+2)/(1+e^(t-r)),+y=(e^(-t^2/2))/sqrt(2*pi)

If you graph this as a parametric eqn (set r to 2 or 3), the problem is that it is not a one-to-one mapping. I want to find the area under the curve (and the part where there are two values of x, I want to include that twice.

Is there any way I can do this?

In the end I want to have the integral be a function of r (m is constant) that I can use elsewhere.

I want to see how the area under the curve changes when I vary r

Any suggestions?

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# Trying to integrate a non one-to-one parametric function

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