Mathematics

Mathematics

Problem

∫(1−x2)log⁡x dx=\int (1 - x^2) \log x \, dx = (a) (x−x33)log⁡x−(x−x39)+c\left( x - \frac{x^3}{3} \right) \log x - \left( x - \frac{x^3}{9} \right) + c (b) (x−x33)log⁡x+(x−x39)+c\left( x - \frac{x^3}{3} \right) \log x + \left( x - \frac{x^3}{9} \right) + c (c) (x+x33)log⁡x+(x+x39)+c\left( x + \frac{x^3}{3} \right) \log x + \left( x + \frac{x^3}{9} \right) + c (d) None of these (a) (x−x33)log⁡x−(x−x39)+c\left( x - \frac{x^3}{3} \right) \log x - \left( x - \frac{x^3}{9} \right) + c (b) (x−x33)log⁡x+(x−x39)+c\left( x - \frac{x^3}{3} \right) \log x + \left( x - \frac{x^3}{9} \right) + c (c) (x+x33)log⁡x+(x+x39)+c\left( x + \frac{x^3}{3} \right) \log x + \left( x + \frac{x^3}{9} \right) + c (d) None of these

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