application Integration Find area,Find Arc-length,Find surface area, find volume of solid by rotating this curve y axis

Question

Find the area of the region bounded between the graph of the two function y=ln(x-1) and y=x^2-6x+5 when 2<_ x<_5

Consider the graph of the function y=4x^2, for 1<_ x<_ 2. Find the value of the solid generated by rotating this graph about y axis.

Find the arc length of the curve with equation y=5+sin(2x), for 0<_ x<_ n/2. n is considered as pie.

Find the area of the surface generated by the rotating the curve with equation y=4ln(2x) for 1<_ x<_ 4 about the x axis

Answer 1