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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫x2+2x4+4dx\int \frac{x^2+2}{x^4+4} d x equals
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Correct option: C
12Tan⁡−1(x2−22x)+c\frac{1}{2} \operatorname{Tan}^{-1}\left(\frac{x^2-2}{2 x}\right)+c
Option C (12Tan⁡−1(x2−22x)+c\frac{1}{2} \operatorname{Tan}^{-1}\left(\frac{x^2-2}{2 x}\right)+c) is correct because after algebraic manipulation and substitution, the integral evaluates to this expression.

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