Answer Happy

Choose the integral used to to find the volume of the solid. The solid of revolution generated by rotating the region between y=x and y=x2 around the y-axis. ∫−11​2πy(y−y​)dy ∫−11​2πx(x−x2)dx ∫01​2πx(x−x2)dx ∫01​2π(x2−x)dx
What is the best method for determining the volume of the solid described below? Find the volume of the solid of revolution generated by rotating the region between the graphs of y=5x3 , the x-axis, the lines x=0 and x=1, rotated around the y-axis. Slicing Method Disk Method Cylindrical Shells Washer Method
What is the best method for determining the volume of the solid described below? Find the volume of the solid of revolution generated by rotating the region between the graph of f(x)=x​ and the x-axis over the interval [1,4], rotated around the x-axis. Cylindrical Shells Washer Method Disk Method