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by **chinex9a** on Sat Oct 09, 2010 8:06 pm

Integrate sqrt(x)/(x^2+x) from 1/3 to 3

How do you go about the integration

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by **stapel_eliz** on Sat Oct 09, 2010 10:09 pm

chinex9a wrote:Integrate sqrt(x)/(x^2+x) from 1/3 to 3

How do you go about the integration

Is just the "x" inside a square root, or is the x² + x included, too?

Thank you! :wink:

by **Martingale** on Sat Oct 09, 2010 10:38 pm

chinex9a wrote:Integrate sqrt(x)/(x^2+x) from 1/3 to 3

How do you go about the integration

$\frac{\sqrt{x}}{x^2+x}=\frac{\sqrt{x}}{x(x+1)}=\frac{1}{\sqrt{x}(x+1)}$

Let $y=\sqrt{x}$

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Partial Fraction integration