Answer :

let dx = dx


Put t=sinx


dt=cosxdx



Putting


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


Now Putting 1-t=0


t=1


A(0)+B(0)+C(1+1)=1



Now Putting 1+t=0


t=-1


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



By equating the coefficient of t2,we get,A-B=0




From equation(1),we get,







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