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Old 2009-05-13, 08:02   #1
Andi47
 
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Oct 2004
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Default please help with an integral

How do I integrate the following functions - I somehow don't see the trick...?

a.) integrate (2x² - 3x - 4) /(3x-5) dx

b.) integrate (4x² - 6x + 2)² * (3x - 5) / 2x³ dx
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Old 2009-05-13, 08:10   #2
Batalov
 
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Hmm...
a. Divide, and you will get something like ax+b+c/(3x-5) which will become easy.
b. Probably, the easiest to do the same as a.
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Old 2009-05-13, 14:09   #3
Mr. P-1
 
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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. P-1 on 2009-05-13 at 14:09
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Old 2009-05-13, 17:49   #4
Andi47
 
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Quote:
Originally Posted by Mr. P-1 View Post
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.
Thanks! Seems I've been somewhat out of practice...
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