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Math Help - got as far as i could in solving integrals by parts, need help at this step

  1. #1
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    got as far as i could in solving integrals by parts, need help at this step

    I'm doing some integrals by parts here and understand the general theory but have a bit of a slow down when applying the steps.

    The scan shows my steps but I'm stuck at 5. I believe I simplified everything correctly but have difficulty moving to the next step, mainly the -2/7 integral xdx part.
    Attached Thumbnails Attached Thumbnails got as far as i could in solving integrals by parts, need help at this step-integralbyparts2.png  
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  2. #2
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    Quote Originally Posted by solidstatemath View Post
    I'm doing some integrals by parts here and understand the general theory but have a bit of a slow down when applying the steps.

    The scan shows my steps but I'm stuck at 5. I believe I simplified everything correctly but have difficulty moving to the next step, mainly the -2/7 integral xdx part.
    If  u=ln(7x), du=(1/x) by way of Chain Rule.
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  3. #3
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    If u = ln(x) then du = 1/2 * dx.


    Shouldn't it be 1/7x * dx where "7x" is the "x" in the above example?
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