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Math Help - U- sub check.

  1. #1
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    U- sub check.

    I have

    \int (3x+1) \sqrt{3x-1}~dx

    u = 3x-1

    \frac{du}{du} = 3

    which gives \frac{1}{3}\int \frac{du}{dx} (u+2)\sqrt{u}~dx = \frac{1}{3}\int (u+2)\sqrt{u}~du

    Is this correct so far?
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  2. #2
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    Quote Originally Posted by Bushy View Post
    I have

    \int (3x+1) \sqrt{3x-1}~dx

    u = 3x-1

    \frac{du}{du} = 3

    which gives \frac{1}{3}\int \frac{du}{dx} (u+2)\sqrt{u}~dx = \frac{1}{3}\int (u+2)\sqrt{u}~du

    Is this correct so far?
    I'll buy that substitution, although I think you meant \frac{du}{dx} = 3 ... continue and finish it.
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