Let . If and , which of the following is…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let f(x)=3x2−4f(x)=3x^{2}-4. If F′(x)=f(x)F'(x)=f(x) and F(1)=0F(1)=0, which of the following is F(x)F(x)? (a) 3x3−4x+13x^{3}-4x+1 (b) x3−4x−3x^{3}-4x-3 (c) x3−4x+3x^{3}-4x+3 (d) x3−4xx^{3}-4x

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