Calculating Triple Integrals – Fixed integration limits – Exercise 4548

Exercise

Calculate the integral

$$\int\int\int_T (2x-y+3z)dxdydz$$

Where T is bounded by the surfaces

$$x=0,x=1,y=0,y=2,z=0,z=3$$

$$\int\int\int_T (2x-y+3z)dxdydz=27$$