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Math Help - Antidifferentiation?

  1. #1
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    Antidifferentiation?

    How does one solve this: [(500/(x+10)) -10]dx

    I'm guessing this involves antidifferentiation, but I cannot figure out how to apply that to the -10. Perhaps -10x + 500ln (x+10)?

    Is there some rule I'm missing here?

    Thank you.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Quixotic View Post
    How does one solve this: [(500/(x+10)) -10]dx

    I'm guessing this involves antidifferentiation, but I cannot figure out how to apply that to the -10. Perhaps -10x + 500ln (x+10)?

    Is there some rule I'm missing here?

    Thank you.
    \int\left(\frac{500}{x+10}-10\right)dx=500\int\frac{1}{x+10}dx-\int10dx
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