Determine $$ f_{ ext {avg }} $$ for $$ f(x)=\cos (2 x)-\sin \left(\frac{x}{2} ight) $$ on $$ \left[\frac{-\pi}{2}, \pi ight] $$

Question

Determine $$ f_{	ext {avg }} $$ for $$ f(x)=\cos (2 x)-\sin \left(\frac{x}{2}ight) $$ on $$ \left[\frac{-\pi}{2}, \piight] $$

Edwards Moreno · Accepted Answer

The average value $$ f_{	ext{avg}} $$ of the function $$ f(x) = \cos(2x) - \sin\left(\frac{x}{2}ight) $$ over the interval $$ \left[-\frac{\pi}{2}, \piight] $$ is $$ -\frac{2\sqrt{2}}{3\pi} $$.

Determine \( f_{\text {avg }} \) for \( f(x)=\cos (2 x)-\sin \left(\frac{x}{2}\right) \) on \( \left[\frac{-\pi}{2}, \pi\right] \)

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Solución paso a paso

Determine \( f_{\text {avg }} \) for \( f(x)=\cos (2 x)-\sin \left(\frac{x}{2}\right) \) on \( \left[\frac{-\pi}{2}, \pi\right] \)

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

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