I.5.37 Volume of a Solid

Condition: using the triple integral, calculate the volume of the body limited by the indicated surfaces using cylindrical or spherical coordinates. Make a drawing. \ [\ begin {array} {l} z = x+y, \ quad \ left (x^{2}+y^{2} \ right)^{2} = 2 x y, \ quad z = 0 \\ x> 0, \ quad y> 0 \ end {Array} \]