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Math Help - Integration question with unknown function, known definite integral value

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    Integration question with unknown function, known definite integral value

    Given that , evaluate
    Last edited by fterh; June 17th 2010 at 10:47 PM.
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  2. #2
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    LaTeX code rendered on this page:

    Code:
    \\
    \int_3^5{f(x)\,dx}+\int_3^1{\left(\frac{1}{3x}-f(x)\right)\,dx}=\\
    \\
    \\
    \int_3^5{f(x)\,dx}+\int_3^1{\frac{1}{3x}\,dx}+\int_1^3{f(x)\,dx}=\\
    \\
    \\
    \int_1^5{f(x)\,dx}+\int_3^1{\frac{1}{3x}\,dx}\\
    Attached Thumbnails Attached Thumbnails Integration question with unknown function, known definite integral value-int_known_unknown.png  
    Last edited by undefined; June 17th 2010 at 11:36 PM. Reason: small typo
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  3. #3
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    Alright thanks a million
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