text: # How do you find int (2x)/(x^2+1)dx?
  
  Feb 4, 2015
  
  The answer is: $\ln \left({x}^{2} + 1\right) + c$.
  
  Since the numerator is the derivative of the denominator, using this rule:
  
  $\int \frac{f ' \left(x\right)}{f} \left(x\right) \mathrm{dx} = \ln f \left(x\right) + c$
explanation: The document contains a math question and its corresponding answer. The question asks how to find the integral of \(\frac{2x}{x^2+1}dx\), and the answer provided is \(\ln(x^2 + 1) + c\), along with an explanation of the rule used to solve the integral.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # How do you find int (2x)/(x^2+1)dx?
  
  Feb 4, 2015
  
  The answer is: $\ln \left({x}^{2} + 1\right) + c$.
  
  Since the numerator is the derivative of the denominator, using this rule:
  
  $\int \frac{f ' \left(x\right)}{f} \left(x\right) \mathrm{dx} = \ln f \left(x\right) + c$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question asks how to find the integral of \(\frac{2x}{x^2+1}dx\), and the answer provided is \(\ln(x^2 + 1) + c\), along with an explanation of the rule used to solve the integral.
  
  Label: question-and-answer