SOLUTION: Let f(x)=2x+3/x. What is the anti derivative of f(x)? The answer is x^2+3ln(|x|). I cant figure how they got the answer. Any help would be greatly appreciated.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Let f(x)=2x+3/x. What is the anti derivative of f(x)? The answer is x^2+3ln(|x|). I cant figure how they got the answer. Any help would be greatly appreciated.      Log On


   

Question 75360: Let f(x)=2x+3/x. What is the anti derivative of f(x)?
The answer is x^2+3ln(|x|).
I cant figure how they got the answer.
Any help would be greatly appreciated.
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


Let f(x)=2x+3/x. What is the anti derivative of f(x)?



        2x + 3/x



        2 int+%28%28x%29dx%29 + 3 int+%28%281%2Fx%29dx%29%29

      

        2x^1+1

        ______   + 3 ln(|x|) , Remember that the derivative of ln(|x|) is 1/x

         1+1                   so the antiderivative of 1/x is ln(|x|)



         x^2 + 3 ln(|x|)