# 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:

$\int \frac{f ' \left(x\right)}{f} \left(x\right) \mathrm{dx} = \ln f \left(x\right) + c$
The text passage contains a mathematical question in the form of an integral problem and provides an answer to that question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# 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:

$\int \frac{f ' \left(x\right)}{f} \left(x\right) \mathrm{dx} = \ln f \left(x\right) + c$
user
The text passage contains a mathematical question in the form of an integral problem and provides an answer to that question.

TYPE: SINGLE_QUESTION_WITH_ANSWER