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# Integration by parts watch

1. Could someone show me their step by step solution integrating (x-2)(2x-3)^-2
(I'm not getting the answer in the book)

Thankyou!
2. (Original post by pippabethan)
Could someone show me their step by step solution integrating (x-2)(2x-3)^-2
(I'm not getting the answer in the book)

Thankyou!
3. Show your working and we can tell you where you've gone wrong
4. I've attached my workings...
Attached Images

6. The website says it's 0.25(1/(2x-3) + log(3-2x)) +c

But I can't see where I'm going wrong (unless the answers are just different ways of expressing the same thing, which I'm fairly sure isn't the case)
7. (Original post by pippabethan)
The website says it's 0.25(1/(2x-3) + log(3-2x)) +c

But I can't see where I'm going wrong (unless the answers are just different ways of expressing the same thing, which I'm fairly sure isn't the case)
(Original post by TeeEm)
Maybe an expert can shed some light...
8. Does it have to be done by integration by parts? Partial fractions gives the answer you quoted from the book.
9. (Original post by Jordan97)
Maybe an expert can shed some light...
You get answers which differ by a constant depending on whether you use a substitution or parts. I am very busy for the next hour but just before I go to bed I will do it both ways to check your answer
10. All your working is correct, it's just (x-2)/(2x-3) can be simplified further into the form given by the book. Good luck
11. goodnight
Hope this sheds some light

(I am sorry this falls very short of my usual presentation standards)
Attached Images

12. (Original post by TeeEm)
goodnight
Hope this sheds some light

(I am sorry this falls very short of my usual presentation standards)
Thank you, this was really helpful!

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