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# integrating a partial fraction HELP! watch

1. Could anyone walk me through how to integrate the following please :

2(x^2 + 3x - 1)/(x+1)(2x-1)

thanks in advance
2. (Original post by guitarmike456)
Could anyone walk me through how to integrate the following please :

2(x^2 + 3x - 1)/(x+1)(2x-1)

thanks in advance
One approach would be to rewrite the fraction as

and then use that to reach

where A and B are constants found in the usual way. This is then a simple integration.
3. (Original post by BJack)
One approach would be to rewrite the fraction as

and then use that to reach

where A and B are constants found in the usual way. This is then a simple integration.
I tried that, and got A/x+1 + B/2x-1 = 5x + 1
but that gives nasty numbers forB and A so I'm fairly sure its wrong?
4. 2(x2+3x?1) / (x+1)(2x?1) ?1+A/x+1 +B /2x?1

? 2x2+6x?2?(x+1)(2x?1)+A(2x?1)+B(x +1)

can someone confirm that the above is surely incorrect?
5. (Original post by guitarmike456)
I tried that, and got A/x+1 + B/2x-1 = 5x + 1
but that gives nasty numbers forB and A so I'm fairly sure its wrong?
It should be 5x-1.
6. (Original post by BJack)
It should be 5x-1.
Thanks

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