(a) F'(x): arctan x, -8 T I (b) F(x)=0 if x <0, 1-e-x/ if x ≥ 0; 0≥0. x² 2 (c) F(x) = 0, if x < 0, if 0 < x < 1, 2x - x² 2 1, if 1

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A: The given function is  f(x) = x5-x+2x3+7

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A: (a)

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A: Integrating on both sides, we get

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A: As you posted multiple question , I need to solve only first question.

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A: Solution

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A: The given function is f(x)=x+3x and a=-4

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A: Answer and explanation is given below