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evaluate int frac 1 x 4 1 dx
Question:
Evaluate \[ \int \frac{1}{x^4 + 1} \, dx = ? \]
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Recognize standard integrals and apply known formulas for solving them.
AP EAPCET - 2025
AP EAPCET
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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