Help needed on these math questions thanks

X5 1 + 1) Find the length of the curve Y = 5 12X3 , 1 5 X s 2 2) Find the centroid of the region above the X axis that is bounded by the Y axis and the line Y = 3 - 3X. 3) Find the area of the surface that is obtained by rotating the graph of X = 1 + Y2 (Y = 1 to Y = 2) about the X axis 4) Using Pappus' theorem, nd the centroid of the upper region bounded by the graph of X2 + Y2 = R2 and the 4 X axis. (Volume of sphere = 5 ). 5) Find the area of the surface that is obtained by rotating the curve Y = 0.25x2 0.5 LogeX, 1 s x s 2 about the Y axis