Answer :

Let


Putting t=cos x


dt=-sin x dx



Now putting,


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


Now put t-2=0


Therefore, t=2


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



Now put t+1=0


Therefore, t=-1


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



Now From equation (1) we get,





So,



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