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Let the function f(x)=\dfracx3+\dfrac3x+3,\ x\ne0 be strictly increasing in (-\infty,α_1)\cup(α_2,\infty) and strictly decreasing in (α_3,α_4)\cup(α_4,α_5). Then \displaystyle ∑_i=1^5α_i^2 is equal to | Watch the step-by-step video solution for this NIMCET PYQ.