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

    0
    ReputationRep:
    if f(x,y)=xy^2 and R is the region in the first quadrant of the xy plane bonded by y=x and y=x^2. I evaluated this integral and got 1/40...
    I did the integral in the order of dxdy so i got the dx limits as y and squareroot of y. I just want to confirm if this is correct? Thanks.
    Offline

    17
    ReputationRep:
    Looks right. (I'd say it's more natural to do the integrals in the opposite order, but you should get the same result either way).
    Offline

    0
    ReputationRep:
    I got the same too
    • Thread Starter
    Offline

    0
    ReputationRep:
    Thank you!
    Offline

    0
    ReputationRep:
    I would agree with DFranklin that dydx is a little easier but whatever you prefer is fine!
    • Thread Starter
    Offline

    0
    ReputationRep:
    Ok another one!(and hopefully final one) if f(x,y)=2y and the region R = {(x,y):y<=x, y<=2-x, y>=0}, I did dxdy in that order again . I got the answer of 2/3 with limits as y and 2-y. Is this correct? Thanks again!
    Offline

    1
    ReputationRep:
    (Original post by JBKProductions)
    Ok another one!(and hopefully final one) if f(x,y)=2y and the region R = {(x,y):y<=x, y<=2-x, y>=0}, I did dxdy in that order again . I got the answer of 2/3 with limits as y and 2-y. Is this correct? Thanks again!
    I agree.
 
 
 
  • 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
    Has a teacher ever helped you cheat?
    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

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