Explain why for any continuous function on .

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

Problem

Explain why ∫73g(x) dx=−∫37g(x) dx\displaystyle\int_{7}^{3} g(x)\,dx=-\int_{3}^{7} g(x)\,dx for any continuous function gg on [3,7][3,7].

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