1. The problem statement, all variables and given/known data Find the Volume ∫∫ xy DA where R is the region bounded by by the line y=x-1 and the parabola y^2=2x+6. 2. Relevant equations ∫∫ xy dx dy 3. The attempt at a solution first i found the intersection of the above equations . which is (5,4) to (-1,-2) . then i simple put the values in the limits of the integral i-e ∫(from y= -2 to y=4) ∫(from x= y+1 to x= (y^2-6)/2 ) xy dx dy and solve it and finaly got 52/3. is this the right method and limits are correct or not ? or i have to use here divergence theorem can somebody explain the word VOLUME in the question ?