Question: Express the integral _ ( E ) f ( x , y , z ) dV as an iterated integral in six different ways, where

Express the integral _(E)f(x,y,z)dV as an iterated integral in six different ways, where E is the solid bounded by z=0,z=4y and x^(2)=16-y.
\int_a^b \int_(g_(1)(x))^(g_(2)(x))\int_(h_(1)(x)^(h_(2)(x,y)),y),y)f(x,y,z)dzdydx
a=-4b=4
g_(1)(x)=0g_(2)(x)=16-x^(2)
h_(1)(x,y)=0h_(2)(x,y)=4y
\int_a^b \int_(g_(1)(y))^(g_(2)(y))\int_(h_(1)(x)^(h_(2)(x,y)),y),y)f(x,y,z)dzdxdy
a=0b=16
g_(1)(y)=g_(2)(y)=
h_(1)(x,y)=,h_(2)(x,y)=
\int_a^b \int_(g_(1)(z))^(g_(2)(z))\int_(h_(1)(y)^(h_(2)(y,z)),z),z)f(x,y,z)dxdydz
a=0b=
g_(1)(z)=,g_(2)(z)=
h_(1)(y,z)=,h_(2)(y,z)=
\int_a^b \int_(g_(1)(y))^(g_(2)(y))\int_(h_(1)(y)^(h_(2)(y,z)),z),z)f(x,y,z)dxdzdy
a=0,b=
g_(1)(y)=g_(2)(y)=
h_(1)(y,z)=,h_(2)(y,z)=
\int_a^b \int_(g_(1)(x))^(g_(2)(x))\int_(h_(1)(x)^(h_(2)(x,z)),z),z)f(x,y,z)dydzdx
a=b=4
g_(1)(x)=0,g_(2)(x)=
h_(1)(x,z)=,h_(2)(x,z)=
\int_a^b \int_(g_(1)(z))^(g_(2)(z))\int_(h_(1)(x)^(h_(2)(x,z)),z),z)f(x,y,z)dydxdz
a=0b=64
g_(1)(z)=g_(2)(z)=
h_(1)(x,z)=(z)/(4),h_(2)(x,z)=
Express the integral _ ( E ) f ( x , y , z ) dV

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