Evaluate:
Let 
Putting t=sin x
dt=cos x dx
Now putting, 
A(2+t)+B(1+t)=1
Now put t+1=0
Therefore, t=-1
A(2-1)+B(0)=1
A=1
Now put t+2=0
Therefore, t=-2
A(0)+B(-2+1)=1
B=-1
Now From equation (1) we get,
So,
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