d x ( x - x 2 ) =

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Solution

Q.
$\int \frac{d x}{(x - x^{2})} =$

1 $\log x - \log (1 - x) + C$

2 $\log (1 - x^{2}) + C$

3 $- \log x + \log (1 - x) + C$

4 $\log (x - x^{2}) + C$

Ans.
(1)

Ans. $\log x - \log (1 - x) + C$

Explanation :

$\int \frac{d x}{(x - x^{2})} = \int (\frac{1}{x} + \frac{1}{1 - x}) d x$

$= \log x - \log (1 - x) + C$

$= \log (\frac{x}{1 - x}) + C$

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