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Let \mathrmf: \mathbbR \rightarrow \mathbbR be defined as f(x)=a e^2 x+b e^x+c x. If f(0)=-1, f^\prime\left(\log _e 2\right)=21 and ∫_0^\log _e 4(f(x)-c x) d x=39/2, then the value of |a+b+c| | Watch the step-by-step video solution for this NIMCET PYQ.