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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1
∫e(x2+4ln⁡x)−x3ex2x−1dx\int \frac{e^{\left(x^2+4 \ln x\right)}-x^3 e^{x^2}}{x-1} d x is equal to
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Correct option: D
None of these
Option D (None of these) is correct because the integral simplifies to 12(x2−1)ex2+C\frac{1}{2}(x^2-1) e^{x^2}+C, which is not any of the given options.

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