The Student Room Group
Uni students - Complete our survey >>
Uni students - Complete our survey >>
Uni students - Complete our survey >>

Integration by parts

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!
Reply 1
Avatar for TeeEm
TeeEm
19
please post your solution
Reply 2
Avatar for Jordan97
Jordan97
1
Show your working and we can tell you where you've gone wrong
Reply 3
Avatar for TSR George
TSR George
OP
17
I've attached my workings...
2015-10-17 19.30.07.jpg231.1KB
Reply 4
Avatar for Jordan97
Jordan97
1
Hmm I agree with your answer
Reply 5
Avatar for alow
alow
19
There's a website for that.
Reply 6
Avatar for TSR George
TSR George
OP
17
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)
(edited 8 years ago)
Reply 7
Avatar for Jordan97
Jordan97
1
Original post by TeeEm
please post your solution


Maybe an expert can shed some light...
Does it have to be done by integration by parts? Partial fractions gives the answer you quoted from the book.
Reply 9
Avatar for TeeEm
TeeEm
19
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
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 :wink:
Reply 11
Avatar for TeeEm
TeeEm
19
goodnight
Hope this sheds some light

(I am sorry this falls very short of my usual presentation standards)
IMG.jpg408.7KB
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! :biggrin:

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you