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Homework Help: Multiplier for the whole integral

  1. Dec 19, 2009 #1
    1. The problem statement, all variables and given/known data

    [itex]\pi[\int \right[ \frac{\sqrt{x^2+1}}{x^4+sin(x)^2}\left]\;dx[/itex]

    2. Relevant equations

    As above

    3. The attempt at a solution

    Is there some sort of identity not sure even where to start this one?

    Sorry that pi is obviously meant to be a multiplier for the whole integral if that isn't clear.

    It's not actually outside per se.

    You can easily put it before the dx in a relevant format relation to the equation.

    It's just a constant outside the integral instead of inside so think of it as the +C if that helps.
    Last edited: Dec 19, 2009
  2. jcsd
  3. Dec 19, 2009 #2


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    Homework Helper

    Re: Integral

    Where did you get this integral from? By observation, it looks like an integral without an elementary anti-derivative.
  4. Dec 19, 2009 #3
    Re: Integral

    In an advanced text book, I assume there is a solution but it might as you say be some sort of Taylor series type equation?

    I admit it's not technically homework but I thought this would be the place to put it?
  5. Dec 19, 2009 #4
    Re: Integral

    wolfram says "No!" :P
  6. Dec 19, 2009 #5


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    Homework Helper

    Re: Integral

    Given that you're adding a power of x to a trigonometric function of x in the denominator, I doubt it would be doable. You could of course do a series expansion around some point and integrate each term in the series individually, but I'm not sure if you'd be able to find a closed-form expression for all the series coefficients.
  7. Dec 20, 2009 #6


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    Science Advisor

    Re: Integral

    What was the entire statement of the problem? Was it an indefinite integral as you show or a definite integral?
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