Find the volume of the solid generated by revolving the region enclosed by the graph of the function f(x) = 6 / x^2+9x+18 and the x-axis over the interval [0, 1] about y-axis. Enter an exact answer and be sure to place parentheses around the arguments of any logarithmic and trigonometric functions.
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Find the volume of the solid generated by revolving the region enclosed by the graph of the function f(x) = 6 / x^2+9x+18 and the x-axis over the interval [0, 1] about y-axis. Enter an exact answer and be sure to place parentheses around the arguments of any logarithmic and trigonometric functions.