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If f(x)= (pcosx+qsinx)(x 2 +ax+b) given ∫f(x)dx from lower limit -π/2 to upper limit π/2 vanishes for all p,q ϵ R, then the value of π 2 +4b+a = ….......... ?

If  f(x)= (pcosx+qsinx)(x2+ax+b)
given  ∫f(x)dx from lower limit -π/2  to upper limit π/2 vanishes for all p,q ϵ R, then 
the value of π2+4b+a = ….......... ?
 

Grade:12

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