Question: A solid is obtained by rotating the shaded region about the specified line. about the y-axis The x y-coordinate plane is given. A line, a

A solid is obtained by rotating the shaded region about the specified line. about the y-axis The x y-coordinate plane is given. A line, a curve, and a shaded region are on the graph. The line labeled y = x enters the window at the origin touching the curve, goes up and right, crosses the curve, and exits the window in the first quadrant. The curve labeled y = 3x x2 enters the window at the origin touching the line, goes up and right becoming less steep, changes direction in the first quadrant, goes down and right becoming more steep, crosses the line, crosses positive x-axis, and exits the window in the fourth quadrant. The shaded region is above the line and below the curve. (a) Set up an integral to find the volume of the solid. 2 Correct: Your answer is correct. 0 Incorrect: Your answer is incorrect. dx (b) Evaluate the integral to find the volume of the solid. Correct: Your answer is correct

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