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Math Help - antiderivatives

  1. #1
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    antiderivatives

    Find the most general antiderivative of the function. Use C for any needed constant. (Check your answer by differentiation.) (x>0)

    I'm having trouble with this antiderivative
    I've broken it up into 6/x^7 - 3/x^5 + 2 but im having trouble finding the derivative of the first two things.

    I'm sorry if this is such a simple question I should know the answer to..
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  2. #2
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    Quote Originally Posted by rsanford View Post
    Find the most general antiderivative of the function. Use C for any needed constant. (Check your answer by differentiation.) (x>0)

    I'm having trouble with this antiderivative
    I've broken it up into 6/x^7 - 3/x^5 + 2 but im having trouble finding the derivative of the first two things.

    I'm sorry if this is such a simple question I should know the answer to..
    \int{\frac{6}{x^7}-\frac{3}{x^4}+2 dx}and using general rules of integration we get \frac{-1}{x^6}+\frac{1}{x^3}+2x+C
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  3. #3
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    Hello,

    Transform for example 6/x^7 into 6*x^(-7)

    The antiderivative for x^n is \frac{1}{n+1} x^{n+1}, even if n is negative
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