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Simple İntegral question Check

  1. Mar 1, 2017 #1
    1. The problem statement, all variables and given/known data
    ##\int \frac{x}{\left(C-x\right)^2}dx=?##
    Here ##C## is a constant
    2. Relevant equations


    3. The attempt at a solution
    ##c-x=u## then ##dx=-du##
    then it becomes,
    ##\int \frac{u-c}{\left(u\right)^2}du##
    ##\int \frac{u}{u^2}-\frac{c}{u^2}du##
    From there I found
    ##ln\left(c-x\right)+\frac{c}{c-x}##
    but symbolab says its,
    ##ln\left(c-x\right)+\frac{x}{c-x}##
    I cannot see how ??
     
  2. jcsd
  3. Mar 1, 2017 #2

    fresh_42

    Staff: Mentor

  4. Mar 1, 2017 #3
  5. Mar 1, 2017 #4
    It's probably quicker to just differentiate your result than to check it with software from which you learn nothing.
     
  6. Mar 1, 2017 #5
    Make sense never thought.
     
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