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anonymous
 2 years ago
<Integration>
\[\int \frac{2x}{3(x^2x+1)}dx\]
anonymous
 2 years ago
<Integration> \[\int \frac{2x}{3(x^2x+1)}dx\]

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anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0adjust the numerator as the sum of the (derivative of the denominator) + (some constant). then try to proceed, i guess it would work :)

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0\[=\frac{1}{3}\int \frac{\frac{3}{2}}{(x^2x+1)}dx\frac{1}{3}\int \frac{x\frac{1}{2}}{x^2x+1}dx\]\[=\frac{1}{\sqrt{3}} \tan^{1}(\frac{2x1}{ \sqrt{3}})\frac{1}{3}(\frac{1}{2}\ln x^2x+1)\]
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