Let be a continuous odd function

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

Problem

Let ff be a continuous odd function. What is ∫−kkf(x) dx\displaystyle \int_{-k}^{k} f(x)\,dx equal to? (a) 2∫0kf(x) dx2\displaystyle\int_{0}^{k} f(x)\,dx (b) −2∫0kf(x) dx-2\displaystyle\int_{0}^{k} f(x)\,dx (c) 0 (d) ∫0kf(x) dx\displaystyle\int_{0}^{k} f(x)\,dx

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