Question

Integrate x²/1-x² dx​

Answer 1

Answer:

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Step-by-step explanation:

x raise to 3 + 3 upon 3 multiply by 1-x square

Answer 2

Answer:

$\frac{ {x}^{3} }{3} + \arctan(x) + c$

Step-by-step explanation:

$\int \frac{ {x}^{2} }{1 + {x}^{2} } dx \\ \\ = \int {x}^{2} \times \frac{1}{1 + {x}^{2} } \times dx \\ \\ = \int {x}^{2} dx \int \frac{1}{1 + {x}^{2} } dx \\ \\ = \frac{x ^{2 + 1} }{2 + 1} + \arctan(x) + c$