Answer :


Let


Putting t=tanx


dt=sec2xdx



Now putting,


A(3+t)+B(2+t)=1


Now put t+2=0


Therefore, t=-2


A(3-2)+B(0)=1


A=1


Now put t+3=0


Therefore, t=-3


A(0)+B(2-3)=1


B=-1


Now From equation (1) we get,






So,



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