# a triple integral question

#### Em Yeu Anh

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

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

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

#### [email protected]

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

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

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

Em Yeu Anh

#### Em Yeu Anh

$$\displaystyle \int_0^{6x+y}xydz = 6x^2y+xy^2$$
*sigh* I'm so careless. Thanks!