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Let f:[0,2]→R be the function defined byf(x)=(3−sin(2πx))sin(πx−π4)−sin(3πx+π4)If α,β∈[0,2] are such that {x∈[0,2]:f(x)≥0}=[α,β], then the value of β−α is

Answer» Let f:[0,2]R be the function defined by

f(x)=(3sin(2πx))sin(πxπ4)sin(3πx+π4)

If α,β[0,2] are such that {x[0,2]:f(x)0}=[α,β], then the value of βα is


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