Question:

Evaluate \[ \int \frac{1}{x^4 + 1} \, dx = ? \]

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Recognize standard integrals and apply known formulas for solving them.
Updated On: Jun 6, 2025
  • \(\frac{\pi}{3}\)
  • \(\frac{\pi}{4}\)
  • \(\frac{\pi}{6}\)
  • \(\frac{\pi}{2}\)
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The Correct Option is A

Solution and Explanation

This is a standard integral, and it can be solved using the formula for the integral of \(\frac{1}{x^4 + 1}\). The result is \[ \frac{\pi}{3}. \]
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