(a) The region in the figure is rotated around the x-axis. Using y = -a? + 6x 9 the strip shown, write an integral giving the volume. Ax 6 The definite integral representing the volume is: 0. -x² + 6x)´ dx ▼ (b) Evaluate the integral. NOTE: Enter the exact answer, or round it to three decimal places. The value of the integral is

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