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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1
∫−11  x3  +  ∣ x ∣  +  1x2  +  2∣ x ∣  + 1  dx\int \limits_{ - 1}^1 \,\,\frac{{{x^3}\,\, + \,\,\left| {\,x\,} \right|\,\, + \,\,1}}{{{x^2}\,\, + \,\,2\left| {\,x\,} \right|\,\, + \,1}}\,\,dx is equal to
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Correct option: D
None of these
Option D (None of these) is correct because the integral evaluates to 2ln2, which is not among the given options.

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