Exponential Integration

Posted on 2006-04-14
Last Modified: 2008-02-01
It's been about 10 years since I last took calculus, and I seem to have forgotten some things.  I'm ripping through my various calculus books (and diff eq) trying to find the answer, but I can't seem to find it.  I'm also trying various substitutions to no avail.  Here's what I'm trying to integrate:
INT e^f(x) dx
I can find INT f'(x)e^f(x) dx, but not it.  Unfortunately, f'(x) is not a constant; it is a polynomial.  I remember them telling us that not all functions (even continuous) can be integrated, but this sure feels like it should be integratable.

Question by:ChefInnocent
    LVL 84

    Accepted Solution

    if f(x) can be something like -x^2 there may not be a closed form solution in terms of elementary functions

    Author Comment

    Thanks!  I was able to use the "elentary functions" to look up at Mathworld.  From there, I found that I can reduce my problem to the erf(z) which thrusts me into the Gamma function.  Now, I have a computational answer for my problem.

    -- Daniel

    Featured Post

    Highfive Gives IT Their Time Back

    Highfive is so simple that setting up every meeting room takes just minutes and every employee will be able to start or join a call from any room with ease. Never be called into a meeting just to get it started again. This is how video conferencing should work!

    Join & Write a Comment

    Suggested Solutions

    Title # Comments Views Activity
    Six sigma statistic 6 70
    A second problem of optics 12 101
    Need a nodal sequencing tool 3 29
    Triangles - Calculating angles 7 35
    Complex Numbers are funny things.  Many people have a basic understanding of them, some a more advanced.  The confusion usually arises when that pesky i (or j for Electrical Engineers) appears and understanding the meaning of a square root of a nega…
    Have you ever thought of installing a power system that generates solar electricity to power your house? Some may say yes, while others may tell me no. But have you noticed that people around you are now considering installing such systems in their …
    how to add IIS SMTP to handle application/Scanner relays into office 365.
    In this sixth video of the Xpdf series, we discuss and demonstrate the PDFtoPNG utility, which converts a multi-page PDF file to separate color, grayscale, or monochrome PNG files, creating one PNG file for each page in the PDF. It does this via a c…

    728 members asked questions and received personalized solutions in the past 7 days.

    Join the community of 500,000 technology professionals and ask your questions.

    Join & Ask a Question

    Need Help in Real-Time?

    Connect with top rated Experts

    21 Experts available now in Live!

    Get 1:1 Help Now