[積分] 面積分
x^2+y^2+z^2=1 要算球面積
球座標代換後|r_θxr_ψ|=sinψ
2pi pi
∫ ∫sinψdψdθ=4pi^2
0 0
我換個方式 (x,y,√(1-x^2-y^2))
|r_x x r_y|=(1-x^2-y^2)^-1
再球座標代換=(secψ)^2
2pi pi/2
2∫ ∫ (secψ)^2 sinψdψdθ
0 0
跟上面就不一樣了 WHY?
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