Let be a continuous odd function on the interval

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

Problem

Let gg be a continuous odd function on the interval [−6,6][-6,6]. Which of the following is the value of ∫−66g(x) dx\displaystyle\int_{-6}^{6} g(x)\,dx? (a) 2∫06g(x) dx2\displaystyle\int_{0}^{6} g(x)\,dx (b) ∫06g(x) dx\displaystyle\int_{0}^{6} g(x)\,dx (c) 00 (d) 12 g(0)12\,g(0)

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