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Consider a function f:R rarr R defined b...

Consider a function `f:R rarr R` defined by `f(x)=2x^(3)+bx^(2)+4x+int(2sin^(2)t+3cos^(2)t)dt AA x in R` If `f(x)` is strictly increasing function for every real `x` then number of integral values of `b` is `M` .Find `M-8` .

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