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 $x^4 + 8y^4+y = 1$.
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.
Last edited by Albert; September 14th, 2017 at 22:39.
Last edited by Albert; September 14th, 2017 at 22:42.