Let and . Both functions are antiderivatives of the same derivative on . Determine…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let F(x)=x4−2x2+3F(x)=x^{4}-2x^{2}+3 and G(x)=x4−2x2−5G(x)=x^{4}-2x^{2}-5. Both functions are antiderivatives of the same derivative on R\mathbb R. Determine the value of G(x)−F(x)G(x)-F(x).

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