∫(4x+3)/(x-2)^3dx求不定积分

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∫(4x+3)/(x-2)^3dx求不定积分∫(4x+3)/(x-2)^3dx求不定积分∫(4x+3)/(x-2)^3dx求不定积分∫(4x+3)/(x-2)^3dx=∫(4x-8+11)/(x-2)

∫(4x+3)/(x-2)^3dx求不定积分
∫(4x+3)/(x-2)^3dx
求不定积分

∫(4x+3)/(x-2)^3dx求不定积分
∫(4x+3)/(x-2)^3dx
=∫(4x-8+11)/(x-2)^3dx
=∫(4x-8)/(x-2)^3dx+∫11/(x-2)^3dx
=4∫1/(x-2)^2dx+11∫1/(x-2)^3dx
=-4/(x-2)-11/2(x-2)^2+C
=-((8x-5)/2(x-2)^2)+C
(C为积分常数).

-4/(x-2) -5.5/(x-2)^2 +c

里面可以化成4/(x-2)^2+11/(x-2)^3
然后就可以了-4/(x-2)-11/2(x-2)^2 +c