Garrett Nunez
01/16/2024 · Primary School
Encuentre el área entre la curva \( f(x)=4 \operatorname{sen}(4 x) \sqrt{2-\cos (4 x) / y} \) el exe \( x \) en \( \left[-\frac{\pi}{2}, 1\right. \)
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Para encontrar el área entre la curva \( f(x) = 4 \sin(4x) \sqrt{2 - \cos(4x)} \) y el eje \( x \) en el intervalo \( \left[-\frac{\pi}{2}, 1\right] \), se debe calcular la integral definida de \( f(x) \) en ese intervalo. Se deben considerar los puntos críticos donde \( \sin(4x) \) cambia de signo y se deben calcular las integrales en los intervalos donde \( f(x) \) es positiva. El área total se obtiene sumando las áreas de estos intervalos.
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