- #1
abrowaqas
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Homework Statement
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.
Homework Equations
∫∫ xy dx dy
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 ?