积分号(xcosx)/(sinx)^3dx
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积分号(xcosx)/(sinx)^3dx积分号(xcosx)/(sinx)^3dx积分号(xcosx)/(sinx)^3dx∫xcosx/(sinx)^3dx=∫x/(sinx)^3d(sinx)=
积分号(xcosx)/(sinx)^3dx
积分号(xcosx)/(sinx)^3dx
积分号(xcosx)/(sinx)^3dx
∫xcosx/(sinx)^3 dx
= ∫x/(sinx)^3 d(sinx)
=-x/2·1/(sinx)^2+1/2 ∫1/(sinx)^2dx
=-x/[2(sinx)^2]+1/2·∫(cscx)^2dx
=-x/[2(sinx)^2]-(cotx)/2+C
∫(xcosx)/(sinx)^3dx
=∫x/(sinx)^3dsinx
=-1/2∫xd(1/sin^2x)
=-1/2*x/(sinx)^2+1/2∫(1/sin^2x)dx
=-1/2*x/(sinx)^2+1/2∫(csc^2x)dx
=-1/2*x/(sinx)^2-1/2cotx+C
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