- Draw a vertical element of area as shown below.
(a) Let a represent the x-value of the positive point of intersection of y = x^4 and y = sin x. Solving
a^4 = sin a with the calculator, we find a = 0.9496.(b) Elements of volume are triangular prisms with height h = 3 and base b = (sinx − x^4 ), as shown
below.(c) When R is rotated around the x-axis, the element generates washers. If r 1 , and r 2 are the radii
of the larger and smaller disks, respectively, then