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(3) I = ∫<0, 1>xdx ∫<0, π/2>sinydy∫<0, π/2>coszdz
= [(1/2)x^2]<0, 1> [-cosy]<0, π/2> [sinz]<0, π/2> = 1/2
(5) 化为球坐标
I =∫<0, π/2>dφ∫<0, π/2>dθ∫<0, 1>(rsinφcosθ)(rsinφsinθ)(rcos)r^2cosφdr
=∫<0, π/2>cosφ(sinφ)^2dφ∫<0, π/2>sinθcosθdθ∫<0, 1>r^5dr
= (1/6)[(1/3)(sinφ)^3]<0, π/2>[(1/2)(sinθ)^(1/2)]<0, π/2> = 1/36
= [(1/2)x^2]<0, 1> [-cosy]<0, π/2> [sinz]<0, π/2> = 1/2
(5) 化为球坐标
I =∫<0, π/2>dφ∫<0, π/2>dθ∫<0, 1>(rsinφcosθ)(rsinφsinθ)(rcos)r^2cosφdr
=∫<0, π/2>cosφ(sinφ)^2dφ∫<0, π/2>sinθcosθdθ∫<0, 1>r^5dr
= (1/6)[(1/3)(sinφ)^3]<0, π/2>[(1/2)(sinθ)^(1/2)]<0, π/2> = 1/36
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