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Math Help - Antiderivative?

  1. #1
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    Antiderivative?

    Hey guys, just need a little bit of help. I learned about antiderivatives a few days ago and while I followed my teacher's examples I got the wrong answer on a homework question. I was wondering if you could point me in the right direction?

    Here's the question: Find the most general antiderivative of the function. Use C for any needed constant. f(x) = 5x1/6 - 6x5/6

    So what I did was I took the exponents and added one to them, which gave me 7/6 and 11/6. I then divided these exponents but the coefficient number (ie. 5/(7/6)) and got 30/7 and 36/11

    So, it looked like this:

    30/7(x)^(7/6) - 36/11(x)^(11/6)

    But this isn't right? =\

    Thanks for any help!
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  2. #2
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    Quote Originally Posted by dark-ryder341 View Post
    Hey guys, just need a little bit of help. I learned about antiderivatives a few days ago and while I followed my teacher's examples I got the wrong answer on a homework question. I was wondering if you could point me in the right direction?

    Here's the question: Find the most general antiderivative of the function. Use C for any needed constant. f(x) = 5x1/6 - 6x5/6

    So what I did was I took the exponents and added one to them, which gave me 7/6 and 11/6. I then divided these exponents but the coefficient number (ie. 5/(7/6)) and got 30/7 and 36/11

    So, it looked like this:

    30/7(x)^(7/6) - 36/11(x)^(11/6)
    But this isn't right? =\

    Thanks for any help!
    \frac{30}{7}x^{\frac{7}{6}} - \frac{36}{11}x^{\frac{11}{6}} \textcolor{red}{+ C}

    your antiderivative is almost correct ... did you forget the constant of integration ?
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  3. #3
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    Ack! That must be it! I totally forgot. Thanks so much!
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