Question:medium
\( \int \frac{(x+1)^2}{x^2+1} \, dx = \)
\( \int \frac{(x+1)^2}{x^2+1} \, dx = \)
Show Hint
Always simplify rational functions before integrating.
Updated On: May 8, 2026
- \( \log|x| (x^2+1) + C \)
- \( \log|x| + C \)
- \( \log|x| + 2\tan^{-1}x + C \)
- \( \log\left(\frac{1}{1+x^2}\right) + C \)
- \( 2\log|x| + \tan^{-1}x + C \)
Show Solution
The Correct Option is C
Solution and Explanation
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