# Calculating Triple Integrals – Bounded by surfaces – Exercise 4566

Exercise

Calculate the integral

$$\int\int\int_T xy^2z^3 dxdydz$$

Where T is bounded by the surfaces

$$y=x,x=1,z=0,z=xy$$

$$\int\int\int_T xy^2z^3 dxdydz=\frac{1}{364}$$

Solution

Coming soon…

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