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?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

Loading...

Similar Threads - Trying integrate parametric | Date |
---|---|

I Try to solve 10=(e^x)/x | Nov 30, 2016 |

Trying to find the infinite sum of e^-x using integration | Oct 30, 2014 |

Trying to find integral using laplace method | Feb 8, 2012 |

Trying to understand why integration is inverse of differentiation | Mar 13, 2011 |

Two integrals I am trying to solve without closed form antiderivatives | Feb 4, 2007 |

**Physics Forums - The Fusion of Science and Community**