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標題: Integration問題!help! [打印本頁]

作者: doneonex 時間: 09-11-15 10:10 PM 標題: Integration問題!help!

1. Evaluate the integral

               ∫∫D (x^2+y^2)dxdy
where D is the area between the circles x^2 + y^2 = 4 and x^2 + y^2 +2x = 0.

2. Evaluate:

            ∫∫R  ln(x^2 + y^2)/sqrt(x^2 + y^2) dydx


where R is the region inside x^2 + y^2 = 1 and bounded by y = 0 and y = x

by transforming into plane polar coordinates.

3. Find the volume enclosed by the parabolic cylinder y = x^2 and the planes

z = 0 and x + y + z = 2.

4. Find the volume remaining when the hemisphere x^2 + y^2 + z^2 = a^2 is cut

by the cylinder x^2 + y^2 = ax.

作者: dongdaxing0 時間: 09-11-23 06:19 PM 標題: 寵物用品批發，狗糧，貓糧，狗糧批發，貓糧批發，寵物用品

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