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    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.
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    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).
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    I got the same too
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    Thank you!
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    I would agree with DFranklin that dydx is a little easier but whatever you prefer is fine!
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    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!
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    (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.
 
 
 
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