## Partial Fraction integration

Limits, differentiation, related rates, integration, trig integrals, etc.

### Partial Fraction integration

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

How do you go about the integration
chinex9a

Posts: 10
Joined: Mon Sep 13, 2010 4:42 am

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!

stapel_eliz

Posts: 1715
Joined: Mon Dec 08, 2008 4:22 pm

### Re: Partial Fraction integration

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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Martingale

Posts: 350
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA