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# double integrals watch

1. can some1 please help me with the following 2 question, i have attemped both but seem to come out with the correct answer:

1. ∫dx ∫(x-y)dy the 1st integral sign has the limits a and 0. the 2nd sign has the limits y1 and 0. where y1 = (a^2 -x^2)^0.5
for this ques the answer should be 0.

2. by changing the order of integration evaluate:
∫dx∫y^-1 sinycos(x/y)dy for the 1st integral sign, limits are 1 and 0. the 2nd sign has limits 1 and x.

2. 1, x(xy-.5y^2)
= (yx^2)- (.5xy^2)
3. ive managed to do the 1st ques, ne help with the 2nd ques, would be great!

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Updated: March 1, 2006
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