Question

$\int\limits { \frac{x^{2} \, dx}{x^{2} +1}$

Answer 1

Answer:

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Answer 2

$\int\limits \frac{ {x}^{2} }{1 + {x}^{2} } (dx) \\ \int\limits \frac{ {x}^{2} + 1 - 1}{1 + {x}^{2} } (dx) \\ \int\limits \frac{ {x}^{2} + 1}{1 + {x}^{2} } (dx) - \int\limits \frac{ 1 }{1 + {x}^{2} } (dx) \\ x - { \tan(x) }^{ - 1} + c$