y sin z dx dy dzSolutionInt z06 Int y01 Int x23 ysinz dxdydz

Solution

Int {z:0->/6} Int {y:0->1} Int {x:-2->3} ysin(z) dxdydz

=Int {z:0->/6} Int {y:0->1} Int {x:-2->3} ysin(z) dxdydz

= Int {z:0->/6} Int {y:0->1}   [xysin(z)] {x:-2->3} dydz

=Int {z:0->/6} Int {y:0->1}   [5ysin(z)] dydz

=Int {z:0->/6} Int {y:0->1}   [5ysin(z)] dydz

=Int {z:0->/6}    [5y²sin(z)] {y:0->1} dz

=Int {z:0->/6}    [5sin(z)] dz

=Int {z:0->/6}    [5sin(z)] dz

= -5cos(z) {z:0->/6}

= -5[1/2 -1]

=5/2

=2.5