On the interval

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

On the interval [−π4,π4]\left[-\dfrac{\pi}{4},\dfrac{\pi}{4}\right], the function p(x)=kcos⁡(2x)+3p(x)=k\cos(2x)+3 has average value 44. Determine the value of kk.

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