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Let f(x)=(pcosx+qsinx)(x2+αx+β) where α,β∈R. If π/2∫−π/2f(x)dx vanishes for all real values of p and q, then the value of (π2+4β+α) is

Answer» Let f(x)=(pcosx+qsinx)(x2+αx+β) where α,βR. If π/2π/2f(x)dx vanishes for all real values of p and q, then the value of (π2+4β+α) is


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