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Thread: Intregation exponential square function

  1. #1
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    Post Intregation exponential square function

    integrate(exp-(ax2+bx)/x wrt x where x range from 0 to 5*10-9
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  2. #2
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    Re: Intregation exponential square function

    First, you are missing a ")". Did you intend "integrate(exp-(ax2+bx)/x) wrt x"?

    Second, it looks like that cannot be integrated in terms of "elementary functions". Do you want a numerical integration or integral in terms of the "error function"?
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  3. #3
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    Re: Intregation exponential square function

    yes I did miss a ) I tried error function exponential integral but all failed i just need a solution or an approximate solution to it for my research problem having Gaussian function
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  4. #4
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    Re: Intregation exponential square function

    Quote Originally Posted by kamalakshabaral View Post
    yes I did miss a ) I tried error function exponential integral but all failed i just need a solution or an approximate solution to it for my research problem having Gaussian function
    your notation is very unclear

    do you mean to integrate $\dfrac{e^{-(ax^2 + b x)}}{x}$ ?

    or do you mean $e^{-\dfrac{a x^2 + b x}{x}}$

    if the first case the integral doesn't converge on $[0, 5\times 10^{-9}]$

    if the second case why not write $e^{-(a x + b)}$ and the answer is

    $\displaystyle \int_0^{5\times 10^{-9}}e^{-(ax + b)}~dx = \dfrac{\left(1-e^{-\frac{a}{200000000}}\right) e^{-b}}{a}$
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  5. #5
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    Re: Intregation exponential square function

    It's definitely not the second one ...........i have also got the result of non convergence in the above range ..........i am just wanting to know is there any other method to solve this.....
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  6. #6
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    Re: Intregation exponential square function

    Quote Originally Posted by kamalakshabaral View Post
    It's definitely not the second one ...........i have also got the result of non convergence in the above range ..........i am just wanting to know is there any other method to solve this.....
    what's to solve? It doesn't converge.
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  7. #7
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    Re: Intregation exponential square function

    but it can be solved numerically for certain values of constant a& b by applying taylor............
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