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Math Help - integration

  1. #1
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    integration

    f(x)=10/x
    F(x)=???
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  2. #2
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    Pull back the constant and remember what the derivative of natural log. is.
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  3. #3
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    my book says:

    f(x)=1/x ---> F(x)=ln(x)

    But I don't see what happens to 1 and 10 in my case
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  4. #4
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    As I said, you can just pull out that constant, it's a property. It says \int k\cdot f(x)\,dx=k\int f(x)\,dx.
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  5. #5
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    Oh, so my answer is just
    F(x)=ln(x)+k
    ???
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  6. #6
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    No
    If F(x)=ln(x)+k then f(x)=1/x

    Answer is simply F(x)=10 lnx + k
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