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Math Help - Integration Help

  1. #1
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    Integration Help

    Can someone help me with this question:

    Find a continuous function f and a number a such that:
    Attached Thumbnails Attached Thumbnails Integration Help-calc.jpg  
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  2. #2
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    1 + \int_{a}^x \frac{f(t)}{t^5}\ dt = 4x^{-1} \qquad {\color{red}\star}

    Differentiate both sides (the left hand side of course using one of the Fundamental Theorems of Calculus) to get: \frac{f(x)}{x^5} = -4x^{-2}

    Solve for f(x).

    Now go back to {\color{red}\star} and substitute in f(t) now that we know what f is.
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  3. #3
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    I'm sorry, it's difficult to read your attachment op my screen. Are the bounds of integration "H" and "A"?
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  4. #4
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    The lower bound is a and the upper bound is x.
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