Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    2
    ReputationRep:
    Name:  20160413_135226.jpg
Views: 108
Size:  220.6 KB

    I have had a go at this question. I am trying to intergrate e^5y / 5 dy and I got e^5y / 25

    Is this correct?
    Offline

    22
    ReputationRep:
    (Original post by ak1992)
    Name:  20160413_135226.jpg
Views: 108
Size:  220.6 KB

    I have had a go at this question. I am trying to intergrate e^5y / 5 dy and I got e^5y / 25

    Is this correct?
    No, you need to use IBP again on \int 2y e^{5y}/5 \, \mathrm{d}y.

    In general, to integrate e^{ay}y^n w.r.t y using IBP, you need to apply IBP n times.
    • Thread Starter
    Offline

    2
    ReputationRep:
    This is what I don't understand. To IBP again you would have to let one be U and the other be dv/dy.
    Would you differentiate e^5y / 5 and intergrate the 2y?
    Offline

    22
    ReputationRep:
    (Original post by ak1992)
    This is what I don't understand. To IBP again you would have to let one be U and the other be dv/dy.
    Would you differentiate e^5y / 5 and intergrate the 2y?
    No, you'd differentiate the 2y and integrate the e^5y.
    • Thread Starter
    Offline

    2
    ReputationRep:
    Name:  14605588083752142581891.jpg
Views: 42
Size:  239.8 KB
    Does this look about right?

    Thank you for your help!

    (Original post by Zacken)
    No, you'd differentiate the 2y and integrate the e^5y.
    Offline

    22
    ReputationRep:
    (Original post by ak1992)
    Name:  14605588083752142581891.jpg
Views: 42
Size:  239.8 KB
    Does this look about right?

    Thank you for your help!
    Almost, it should be + \frac{2e^{5y}}{125} and not -\frac{2e^{5y}}{125} remember to distribute your negative signs. The rest is fine.
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Are unpaid trial work shifts fair?
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Quick reply
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.