※ 引述《cjslc2 (笑點)》之銘言：
: Find the volume of the region bounded below by the plane z = 0,laterally by
: the cylinder x^2 + y^2 = 1 ,and above by the paraboloid z = x^2 + y^2
: 請問這題如果要用球座標積的話要怎麼積呢? 謝謝
極坐標吧!(球坐標反而不方便)
體積 V=∫∫ (x^2+y^2)dydx (積分範圍是 x^2+y^2 <= 1 )
改為極坐標
= ∫∫ r^2 * r dr dθ ( r=0~1, θ=0~2π)
= π/2
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