# Math Help - a triple integral question

1. ## a triple integral question

Evaluate $\int\int\int_ExydV$ where E is bounded by $x=y^2, y=x^2, z=0, z=6x+y$

My first try:
$\int\int_D(\int_0^{6x+y}xydz)dA$

$=\int_0^1\int_{x^2}^{\sqrt{x}}(6x^2y+6xy^2)dydx$
ended up with 9/14 which was incorrect.

2. Originally Posted by Em Yeu Anh
Evaluate $\int\int\int_ExydV$ where E is bounded by $x=y^2, y=x^2, z=0, z=6x+y$

My first try:
$\int\int_D(\int_0^{6x+y}xydz)dA$

$=\int_0^1\int_{x^2}^{\sqrt{x}}(6x^2y+6xy^2)dydx$
ended up with 9/14 which was incorrect.
$\int_0^{6x+y}xydz = 6x^2y+xy^2$

3. Originally Posted by chiph588@
$\int_0^{6x+y}xydz = 6x^2y+xy^2$
*sigh* I'm so careless. Thanks!