Turn on thread page Beta
 You are Here: Home >< Maths

# Multiple integrals watch

1. 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.
2. 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).
3. I got the same too
4. Thank you!
5. I would agree with DFranklin that dydx is a little easier but whatever you prefer is fine!
6. 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!
7. (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.

Reply
Submit reply
Turn on thread page Beta

### Related university courses

TSR Support Team

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.

This forum is supported by:
Updated: March 23, 2011
Today on TSR

### He lied about his age

Thought he was 19... really he's 14

### University open days

1. University of Bradford
University-wide Postgraduate
Wed, 25 Jul '18
2. University of Buckingham
Psychology Taster Tutorial Undergraduate
Wed, 25 Jul '18
3. Bournemouth University
Clearing Campus Visit Undergraduate
Wed, 1 Aug '18
Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups

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.