20090513, 08:02  #1 
Oct 2004
Austria
2·17·73 Posts 
please help with an integral
How do I integrate the following functions  I somehow don't see the trick...?
a.) integrate (2x²  3x  4) /(3x5) dx b.) integrate (4x²  6x + 2)² * (3x  5) / 2x³ dx 
20090513, 08:10  #2 
"Serge"
Mar 2008
Phi(3,3^1118781+1)/3
2×7×647 Posts 
Hmm...
a. Divide, and you will get something like ax+b+c/(3x5) which will become easy. b. Probably, the easiest to do the same as a. 
20090513, 14:09  #3 
Jun 2003
7×167 Posts 
b: Multiply out the numerator and divide term by term by the denominator. The result will be a sum of +ve and ve powers of x, plus a constant, which can be integrated term by term.
a. Do the substitution u = 3x  5 then proceed as above. Last fiddled with by Mr. P1 on 20090513 at 14:09 
20090513, 17:49  #4 
Oct 2004
Austria
2×17×73 Posts 
Thanks! Seems I've been somewhat out of practice...

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