Evaluate the following integral using integration by parts. S8x sin 8x sin x cos x dx S8x sir 8x sin x cos x dx = (... Evaluate the following integral. Sx e 6x dx ... Let u = x. Use the integration by parts formula to set up a new expression for the given integral. Sxexdx = -SO) dx Find the volume of the solid that is generated when the given region is revolved as described. The region bounded by f(x) = ex, x = In 8, and the coordinate axes is revolved around the y-axis. The volume is . (Type an exact answer.) Find the volume of the solid that is generated when the given region is revolved as described. The region bounded by f(x) = sin x and the x-axis on [0,] is revolved about the y-axis. The volume is (Type an exact answer.) Evaluate the following integral. 20 sin 3 2x cos 3x dx 20 sin x x cos x dx = ... Evaluate the following integral. S 6 sec20 - 1 de 3 61 sec 20-1 d0 = (Type an exact answer.) ...