Determine the real constant for which the average value of on the interval is .

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

Problem

Determine the real constant AA for which the average value of g(x)=Asin⁡xg(x)=A\sin x on the interval [0,π][0,\pi] is 4π\dfrac{4}{\pi}.

Related theory

Browse the problem library