Show that if and are any two antiderivatives of a continuous function on

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

Problem

Show that if F1F_1 and F2F_2 are any two antiderivatives of a continuous function ff on [a,b][a,b], then F1(b)−F1(a)=F2(b)−F2(a)F_1(b)-F_1(a)=F_2(b)-F_2(a).

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