Question:medium
Let the area of the region bounded by the curve \( y = \max \{ \sin x, \cos x \} \), lines \( x = 0 \), \( x = 3\pi/2 \), and the x-axis be A. Then, \( A + A^2 \) is equal to :
Let the area of the region bounded by the curve \( y = \max \{ \sin x, \cos x \} \), lines \( x = 0 \), \( x = 3\pi/2 \), and the x-axis be A. Then, \( A + A^2 \) is equal to :
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Always sketch the graphs of $\sin x$ and $\cos x$ together. It makes it visually obvious that the "max" function follows the upper peaks and valleys of the trigonometric waves.
Updated On: Mar 24, 2026
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Correct Answer: 12
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