Hey,
Can anyone show me the working for integral of x*(1+x)^1/2 using integration by parts and also using substitution u= 1+x? I can't seem to get the right answer :/
-
couruthim
- Follow
- 3 followers
- 8 badges
- Send a private message to couruthim
- Thread Starter
Offline8ReputationRep:- Follow
- 1
- 01-11-2015 13:35
-
morgan8002
- Follow
- 56 followers
- 20 badges
- Send a private message to morgan8002
Offline20ReputationRep:- Follow
- 2
- 01-11-2015 13:50
(Original post by couruthim)
Hey,
Can anyone show me the working for integral of x*(1+x)^1/2 using integration by parts and also using substitution u= 1+x? I can't seem to get the right answer :/ -
couruthim
- Follow
- 3 followers
- 8 badges
- Send a private message to couruthim
- Thread Starter
Offline8ReputationRep:- Follow
- 3
- 01-11-2015 14:09
I tried by parts, here's my working:
u= x, v=2/3(x+1)^3/2
du/dx= 1, dv/dx= (x+1)^1/2
2/3x(x+1)^3/2 - integral of 2/3(x+1)^3/2
=2/3x(x+1)^3/2- 4/15(x+1)^5/2 + c -
- Follow
- 4
- 01-11-2015 14:27
(Original post by couruthim)
I tried by parts, here's my working:
u= x, v=2/3(x+1)^3/2
du/dx= 1, dv/dx= (x+1)^1/2
2/3x(x+1)^3/2 - integral of 2/3(x+1)^3/2
=2/3x(x+1)^3/2- 4/15(x+1)^5/2 + c
You can simplify it a little to get the result that Wolfram gives. -
couruthim
- Follow
- 3 followers
- 8 badges
- Send a private message to couruthim
- Thread Starter
Offline8ReputationRep:- Follow
- 5
- 01-11-2015 14:30
(Original post by joostan)
I agree with your answer, and so does Wolfram.
You can simplify it a little to get the result that Wolfram gives. -
- Follow
- 6
- 01-11-2015 14:33
(Original post by couruthim)
Ok, the simplification is the bit I don't get then, how can it be simplified to give the answer on Wolfram?.
Then simplify what remains in the usual way. It's a linear term so it's reasonably easy to rearrange into the desired form.
- C3 integration by parts
- A level maths C3 advice - Integration
- Integration by parts question
- OCR MEI C3 Maths June 2015
- Maths c3 help needed!
- OCR C3 paper 20/06/2017
- Looked at C4, looks so complex!
- C4 OCR (Not MEI) - Tuesday 16th June 2015
- The MEGA A2 Level Maths Question Countdown - 97 DAYS ...
- 2017 Edexcel C4 Unofficial Mark Scheme
-
University of Bristol
-
University of Bristol
-
City, University of London
-
Mathematics and Computer Science
Queen's University Belfast
-
Bishop Grosseteste University
-
Computer Science and Mathematics
Nottingham Trent University
-
Computing and Mathematics with Professional Practice Year
University of Bedfordshire
-
International Foundation (Mathematics)
City, University of London
-
Mathematics and Music Technology
University of Liverpool
-
Mathematics and Statistics (Foundation Year)
University of the West of England
We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.
- SherlockHolmes
- Notnek
- charco
- Mr M
- Changing Skies
- F1's Finest
- rayquaza17
- RDKGames
- davros
- Gingerbread101
- Kvothe the Arcane
- TeeEff
- The Empire Odyssey
- Protostar
- TheConfusedMedic
- nisha.sri
- claireestelle
- Doonesbury
- furryface12
- Amefish
- harryleavey
- Lemur14
- brainzistheword
- Rexar
- Sonechka
- TheAnxiousSloth
- EstelOfTheEyrie
- CoffeeAndPolitics
- an_atheist
- Labrador99
- EmilySarah00