Evaluate:
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Let ![]()
Putting t=cos x
dt=-sin x dx
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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
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Now From equation (1) we get,
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So,
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