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

2. Originally Posted by lfdahl
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 $x$

Originally Posted by Albert

4. Originally Posted by lfdahl
hint for range of y

Originally Posted by Albert

6. Originally Posted by lfdahl
solution for :$y_2=2y_1$