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    #1
    Evaluate the double integral:
    \[I = \int \int _R\frac{1}{(1+x^2)y}dxdy\]
    - where $R$ is the region in the upper half plane between the two curves:

    $2x^4+y^4+ y = 2$ and $x^4 + 8y^4+y = 1$.

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    #2
    Quote Originally Posted by lfdahl View Post
    Evaluate the double integral:
    \[I = \int \int _R\frac{1}{(1+x^2)y}dxdy\]
    - where $R$ is the region in the upper half plane between the two curves:

    $2x^4+y^4+ y = 2$ and $x^4 + 8y^4+y = 1$.
    please give a hint how to find the region of $R$
    for $ y $ is hard to express in $x$
    Last edited by Albert; September 14th, 2017 at 09:58.

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    #4
    hint for range of y
    Last edited by Albert; September 14th, 2017 at 22:39.

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    Quote Originally Posted by Albert View Post

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    #6
    solution for :$y_2=2y_1$
    Last edited by Albert; September 14th, 2017 at 22:42.

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    Quote Originally Posted by Albert View Post
    Thankyou for your participation, Albert! Well done!

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