Question:medium
\(\int_{-1}^{1} \frac{x^3 + |x| + 1}{x^2 + |x| + 1} \, dx\) is equal to
\(\int_{-1}^{1} \frac{x^3 + |x| + 1}{x^2 + |x| + 1} \, dx\) is equal to
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Splitting an integral into odd and even components is the most powerful technique for evaluating definite integrals with symmetric limits (\(-a\) to \(a\)).
Updated On: Apr 7, 2026
- \(\ln 3 - \frac{\pi}{3\sqrt{3}}\)
- \(\frac{\pi}{3\sqrt{3}}\)
- \(\ln 3 + \frac{\pi}{3\sqrt{3}}\)
- \(-\frac{\pi}{3\sqrt{3}}\)
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The Correct Option is C
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