Simple İntegral question Check

  • Thread starter Arman777
  • Start date
  • #1
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Homework Statement


##\int \frac{x}{\left(C-x\right)^2}dx=?##
Here ##C## is a constant

Homework Equations




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 ??
 

Answers and Replies

  • #4
323
56
It's probably quicker to just differentiate your result than to check it with software from which you learn nothing.
 
  • #5
2,022
173
It's probably quicker to just differentiate your result than to check it with software from which you learn nothing.
Make sense never thought.
 

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