Let be defined on

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let h(x)=sin⁡(kx)h(x)=\sin(kx) be defined on [0,π][0,\pi]. What is the smallest positive integer kk for which the average value of hh on [0,π][0,\pi] equals 0? (a) k=1k=1 (b) k=4k=4 (c) k=2k=2 (d) k=3k=3

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