[SOLVED] Integrate

**gracey** · December 18th 2008, 01:55 AM

Integrate between 2 and 3 the fractions -2 / (2x+1) + 1 / (x-1)

thanks

**mr fantastic** · December 18th 2008, 01:58 AM

Originally Posted by gracey

Integrate between 2 and 3 the fractions -2 / (2x+1) + 1 / (x-1)

thanks

Use the standard result $\int \frac{1}{ax + b} \, dx = \frac{1}{a} \, \ln |ax + b| + C$

**Prove It** · December 18th 2008, 02:04 AM

Originally Posted by mr fantastic

Use the standard result $\int \frac{1}{ax + b} \, dx = \frac{1}{a} \, \ln |ax + b| + C$

Just want to add, if you have trouble remembering this standard result (as I always do), do a u-substitution and use the easier standard result

$\int \frac{1}{x} \, dx = \ln |x| + C$ .

**gracey** · December 18th 2008, 03:18 AM

thank you both so much

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