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
limx→∞ ( 3x-2/3x+2)x
Provide complete and step by step solution for the question and show calculations and use formulas.