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Math Help - Antiderivative

  1. #1
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    Antiderivative

    I had a question on a test and could not figure it out.
    Integral Sign ( x^((3-a)/5) + x^(a-2)/7 -3x^(2a)/3 - 12^a) dx

    I know you have to add 1 to the power, but how do you solve this to integrate this expression???

    Help to explain this would be great, thanks.
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Antiderivative

     \int x^{a} dx = \frac{x^{a+1}}{a+1}+C
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  3. #3
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    Re: Antiderivative

    Hi, I know the formula for it, I am still lost about it. I can't seem to wrap my head around it. stupid really.
    Can you show me, if you want to, thanks.
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  4. #4
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    Re: Antiderivative

    fractions, fractions, fractions ... why so difficult?

    adding 1 ...

    \frac{3-a}{5} + \frac{5}{5} = \frac{8-a}{5}

    so ...

    \int x^{\frac{3-a}{5}} \, dx = \frac{5}{8-a} \cdot x^{\frac{8-a}{5}} + C
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  5. #5
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Antiderivative

    Quote Originally Posted by bradycat View Post
    Hi, I know the formula for it, I am still lost about it. I can't seem to wrap my head around it. stupid really.
    Can you show me, if you want to, thanks.
    I think you need do some practice on Fraction (mathematics) - Wikipedia, the free encyclopedia
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  6. #6
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    Re: Antiderivative

    Thanks for the help. I know how to do fractions, but never encountered what to do with the letter a in it. I'll follow what you wrote above.
    Thanks all the same.
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