Express the integral ∭Ef(x,y,z)dV as an iterated integral in six different ways, where E is the solid bounded by z=0,x=0,z=y−2x and y=8. 1. ∫ab∫g1(x)g2(x)∫h1(x,y)h2(x,y)f(x,y,z)dzdydxa=b=g1(x)=g2(x)=h1(x,y)=h2(x,y)= 2. ∫ab∫g1(y)g2(y)∫h1(x,y)h2(x,y)f(x,y,z)dzdxdya=b=g1(y)=g2(y)=h1(x,y)=h2(x,y)= 3.

Resuelto Express the integral ∭Ef(x,y,z)dV as an iterated

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Pregunta: Express the integral ∭Ef(x,y,z)dV as an iterated integral in six different ways, where E is the solid bounded by z=0,x=0,z=y−2x and y=8. 1. ∫ab∫g1(x)g2(x)∫h1(x,y)h2(x,y)f(x,y,z)dzdydxa=b=g1(x)=g2(x)=h1(x,y)=h2(x,y)= 2. ∫ab∫g1(y)g2(y)∫h1(x,y)h2(x,y)f(x,y,z)dzdxdya=b=g1(y)=g2(y)=h1(x,y)=h2(x,y)= 3.

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Solución
Paso 1
Given the integral $\int \int \int_{E} f (x, y, z) d V$
where E is the solid bounded by $z = 0, x = 0, z = y - 2 x and y = 8$ .

1. $\int_{a}^{b} \int_{g_{1} (x)}^{g_{2} (x)} \int_{h_{1} (x, y)}^{h_{2} (x, y)} (x, y, z) d z d y d x$
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Paso 2
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