(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 ?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Surface integral or Divergence Theorem confused?

**Physics Forums | Science Articles, Homework Help, Discussion**