Solved: Finding solid of revolution and limits, Mathematics

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Finding solid of revolution and limits

Assignment:

Evaluate

∫(log3x / 2x) (dx)

R is bounded below by the x-axis and above by the curve y = 2cosx. Find the volume of the solid generated by revolving R around the y-axis by the method of cylindrical shells

0(< or =) x(< or =) pi/2

Find
lim_x→∞( 3x-2/3x+2)^x

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