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Math Help - Finding a second derivative

  1. #1
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    Finding a second derivative

    I need to find the integral from 1-4 of xf''(x)dx given that f(1)=2, f(4)=7, f'(1)=5, and f'(4)=3. I'm not sure how to begin. When I've done this sort of thing before I always had the function.
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  2. #2
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    \int x \cdot f''(x) \, dx

    u = x
    du = dx

    dv = f''(x) \, dx
    v = f'(x)

    x \cdot f'(x) - \int f'(x) \, dx = x \cdot f'(x) - f(x)

    now use the FTC to determine the value of the definite integral.
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  3. #3
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    OK, I get it. That's kind of fun! Thanks again for your help.
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