(adsbygoogle = window.adsbygoogle || []).push({}); 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 ?

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# Homework Help: Surface integral or Divergence Theorem confused?

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