
求该二次积分?
1个回答
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三角换元脱根号令p=acosu
=a∫(0.π/2)dθ∫(π/2.θ)acosu/asinudacosu
=a²∫(0.π/2)dθ∫(θ.π/2)cosudu
=a²∫1-sinθdθ
=a²(θ+cosθ)
=a²(π/2-1)
=a∫(0.π/2)dθ∫(π/2.θ)acosu/asinudacosu
=a²∫(0.π/2)dθ∫(θ.π/2)cosudu
=a²∫1-sinθdθ
=a²(θ+cosθ)
=a²(π/2-1)
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