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Math Help - integral (proof/showing)

  1. #1
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    integral (proof/showing)

    Having a bit of trouble, here is what i've done so far.
    Last edited by rlkmg; November 17th 2010 at 02:25 PM.
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  2. #2
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    Quote Originally Posted by rlkmg View Post
    Having a bit of trouble, here is what i've done so far.

    So...?? What do you think you've proved so far?

    \displaystyle{I_{n+1}:=\int\limits^1_0\frac{x^n}{2-x}\,dx=\int\limits^1_0\frac{x^{n-1}(2-(2-x))}{2-x}\,dx=2I_n-\int\limits^1_0x^{n-1}\,dx} , and we're done

    Tonio
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  3. #3
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    \int\limits^1_0x^{n-1}\,dx}
    thanks, I've got it now (the 2I(n) ) bit, but how do i get the above part to 1/n?
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  4. #4
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    Quote Originally Posted by rlkmg View Post
    thanks, I've got it now (the 2I(n) ) bit, but how do i get the above part to 1/n?

    Just solve it!

    Tonio
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  5. #5
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    ahh okay, got it now, thanks! silly, didnt see that
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