I have a complicated integral which i need to compute numerically. I can do this in C++ using a version of Simpson's rule. I also need to compute the inverse of this integral (presumably this is what it is called) ie i have(adsbygoogle = window.adsbygoogle || []).push({});

d=integral(f(x)dx)

and i need to be able to compute x given a value of d.

The function f(x) is too complicated to simply rearrange, so i need an iterative way of guessing x, running it in the program, seeing what value of d is given, and then improving my guess of x until i reach my starting d value.

This seems on the surface to be a simple iteration problem, however i cannot find an efficent way of doing this.

Can anyone tell me of a nice way of solving this problem (and even if it is called an 'inverse integration' or not?) and if there is a name given to the numerical method of solving it.

It has been mentioned that there is a 'press' method however i can find no mention of this. Prehaps it involves finding the roots of an equation which takes the value of the integral evaluated at some guessed x, and the roots give the point where the guessed x corresponds to the known d, thus solving the problem? does this ring any bells?

sorry for the long post, thanks in advance for your help

**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!

# Inverse integral numerically

Loading...

Similar Threads - Inverse integral numerically | Date |
---|---|

I Domain of the identity function after inverse composition | Nov 19, 2017 |

I Injectivity equivalent to having a left inverse | Jul 18, 2017 |

I Finding the inverse of a matrix using transformations? | Jun 26, 2017 |

The graph of sin inverse (sin x) after the domain of (- pi/2, pi/2) | Jun 19, 2017 |

Integral Inverse | Sep 7, 2007 |

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