Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(3x), y = 1, y = 5, x = 0; about the y-axis

Using the disk method, the volume is obtained with the integral

The radius of each disk is given by the horizontal distance from the axis of revolution, , to the logarithmic curve which we can write as a :

Then the volume of one such disk is .

The volume of the entire solid would be

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step-by-step explanation:

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