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Thread: Is there a solution for this integral?

  1. #1 Is there a solution for this integral? 
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    Using integral tables, we can find the solution for integration of type arctan(p/q)dx, where p and q are polynomial equations. but is there a solution for the integral of the form sqrt(polynomial)*arctan(linear eqn/sqrt(polynomial)), where both sqrt(polynomial)'s are same?

    ie, is there a solution for the integral expression given below?

    Int{ Sqrt(a*x^2+b*x+c) * arctan[ (p*x+q) / Sqrt(a*x^2+b*x+c) ] }dx = ?


    K. Srinivasa Ramanujam
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  3. #2  
    Forum Isotope Zelos's Avatar
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    i dont know that, but int(x) means it turn what ever X is into a integer. 9,99999 turns to 9


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  4. #3  
    Forum Sophomore Absane's Avatar
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    I doubt there is a solution.

    I know the Integator turns out nothing: http://integrals.wolfram.com/index.jsp
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  5. #4  
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    @zelos and absane:
    thanks for your interest to my question.
    @Zelos:
    The Int() function you are talking about is in number theory, whereas my question is in calculus. Unfortunately I can't type out the integral symbol in this, that's the reason why I've typed as Int(functions)dx.
    @Absane:
    Integrals.com is very good online integrator, but still it returns timeout while performing the integration. I've tried out by downloading trial version of mathematica, supported by same website, but that also returns timeout. Is there a possible solution in terms of special functions etc.?
    K. Srinivasa Ramanujam
    M.S (by Research) Scholar,
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  6. #5  
    Forum Isotope Zelos's Avatar
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    The Int() function you are talking about is in number theory, whereas my question is in calculus. Unfortunately I can't type out the integral symbol in this, that's the reason why I've typed as Int(functions)dx
    hmm, can understand that, id use S(function)dx since S is the closest symbol to the intergral on the keyboard
    I am zelos. Destroyer of planets, exterminator of life, conquerer of worlds. I have come to rule this uiniverse. And there is nothing u pathetic biengs can do to stop me

    On the eighth day Zelos said: 'Let there be darkness,' and the light was never again seen.

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