Question:medium
\(\int \frac{x}{5-x^2} \, dx =\)
\(\int \frac{x}{5-x^2} \, dx =\)
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For \(\int \frac{x}{a - x^2} dx\), substitute \(u = a - x^2\).
Updated On: Apr 24, 2026
- \(-\frac{1}{2} \log_e \left|\frac{1}{5-x^2}\right| + C\)
- \(\frac{1}{2} \log_e |5-x^2| + C\)
- \(-2 \log_e |5-x^2| + C\)
- \(-\frac{1}{2} \log_e |5-x^2| + C\)
- \(2 \log_e \left|\frac{1}{5-x^2}\right| + C\)
Show Solution
The Correct Option is D
Solution and Explanation
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