Recent content by Freiddie

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    Multiple integral notation (or abuse of?)

    So I've seen quite a variety of notations that deviate from what we've learned in our "normal" math courses. In math classes we write a volume integral as: \iiint_W \rho\, d V but somehow once we start doing E&M and QM, professors often just drop the extra integral signs: \int_W \rho\, d V...
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    How can the formula for integrating 1/(x^2+y^2)^(3/2) be derived?

    Oh OK. Thanks for the explanation.
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    How can the formula for integrating 1/(x^2+y^2)^(3/2) be derived?

    That's a depressing thought. :frown: (I digress - Is there a possibility that a Turing machine exists that calculates integrals?)
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    How can the formula for integrating 1/(x^2+y^2)^(3/2) be derived?

    @snipez90: Yes I've learned substitution. If it's solvable by substitution, then I just have the problem of finding what to substitute. @HallsofIvy: Ooh, that is one clever substitution. I never thought of that. What I don't get is why you are trying to find: when there's a sin(x) in...
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    How can the formula for integrating 1/(x^2+y^2)^(3/2) be derived?

    Yes, y is a constant. Trig substitution? The final answer doesn't have any trig functions.
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    How can the formula for integrating 1/(x^2+y^2)^(3/2) be derived?

    Well, so I really want to integrate what's shown in the title: i.e. \int \frac{dx}{(x^2+y^2)^\frac{3}{2}} Now, I know there are quite a few straightforward answers to this. But what I really want is how people who do math got this formula in the first place. I don't just want a formula that...
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