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(Solved): The region between the curve \( y=-\csc ^{-1} x \) and the line \( y=-\frac{\pi}{2} \) from \( x=1 ...
The region between the curve \( y=-\csc ^{-1} x \) and the line \( y=-\frac{\pi}{2} \) from \( x=1 \) to \( x=\sqrt{2} \) is revolved about the \( y \)-axis to generate a solid. Find the volume of the solid. \( -\frac{\pi}{2} \) The volume of the solid is