definite integral of a absolute value

**joe45** · February 3rd 2010, 12:16 PM

How do I intergrate this probelm?
intergel{ absolute value of (1-4x/1+3x)} dx
The professor said it was a simple algerbra trick but I'm not seeing it.

**pickslides** · February 3rd 2010, 12:30 PM

Recall $\int |x|dx = \frac{x|x|}{2}$

and $\frac{1-4x}{1+3x} = \frac{-4}{3}+\frac{7}{3(3x+1)}$

**Plato** · February 3rd 2010, 12:31 PM

Originally Posted by joe45

How do I intergrate this probelm?
intergel{ absolute value of (1-4x/1+3x)} dx.

We need to know the limits of integration. From what to what?

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