Let f be the function given by f(x)=(x^3/4)-(x^2/3)-(x/2) + cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent to the graph of f at x=0.
a. find the area of R
b.Find the volume of the solid generated when R is rotated about the horizontal line y=-2
c. Write, but do no evaluate, an integral expression that can be used to find the area of S.

Question

Let f be the function given by f(x)=(x^3/4)-(x^2/3)-(x/2) + cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent to the graph of f at x=0. 
a. find the area of R 
b.Find the volume of the solid generated when R is rotated about the horizontal line y=-2
c. Write, but do no evaluate, an integral expression that can be used to find the area of S.