Question

Indefinite integral

Answer 1

Step-by-step explanation:

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Answer 2

$\int \frac{dx}{2 {x}^{2} - 3 } \\ = > \int \frac{dx}{ { (\sqrt{2}x) }^{2} - (\sqrt{3} )^{2} } \\ = > \frac{1}{2 \sqrt{3} } log( \frac{ \sqrt{2} x - \sqrt{3} }{ \sqrt{2}x \ + \sqrt{3} } ) + c$

Formula used :

$\int \frac{dx}{ {x}^{2} - {a}^{2} } = \frac{1}{2a} log( \frac{x - a}{x + a} ) + c$

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