The area between x = 0, y = es, and f(x) = e is to be rotated about the - axis to generate a solid. 8 P Q (a) Set up the integral that represents the volume using the disk method. Disk Volume = X dx (b) Set up the integral that represents the volume using the shell method. Shell Volume = n( In(y) 2) X dyFind the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. TT y = 0, y = cos(7x), x = 14 = 0 about the axis x = 6 Use your calculator to evaluate the integral, since we don't have the tools to find the necessary antiderivative (yet).Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = \ In(@),* = 0,y = 0, y = 1.4 about the x-axisRed f(x) = 5 + 6 . cos(x) -10 Q Represent the LENGTH of f(x) for -3 exs 6 as a definite integral 6 LENGTH = dx Then use your calculator to evaluate the integral as a decimal number (rounded to 2 decimal places). LENGTH = Use sqrt(1+x*3) for V 1 + x3 Remember: for trig functions you must be in radian mode.A cannon ball travels along the parabola y = -162 + 90x, traveling from a = 0 to = 5. Write an integral for the length of this arc. 5 dxFind the arc length of the graph of the function g(y) = In(cos(y)) over the intervalLet C be the curve y = 4x* for 0