The average value of on the interval is

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

Problem

The average value of f(x)=sin⁡(kx)f(x)=\sin(kx) on the interval [0,π][0,\pi] is 2π\dfrac{2}{\pi}. The smallest positive integer kk satisfying this condition is (a) 33 (b) 22 (c) 11 (d) 44

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