Let be a continuous odd function on

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

Problem

Let qq be a continuous odd function on [−3,3][-3,3]. Which of the following definite integrals must equal 00? (a) ∫03q(x) dx\displaystyle\int_{0}^{3} q(x)\,dx (b) ∫−33(q(x)+1) dx\displaystyle\int_{-3}^{3}\bigl(q(x)+1\bigr)\,dx (c) ∫−33q(x) dx\displaystyle\int_{-3}^{3} q(x)\,dx (d) ∫−33(q(x))2 dx\displaystyle\int_{-3}^{3} \bigl(q(x)\bigr)^2\,dx

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