# Calculus

posted by
**Jessy152**
.

Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. 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. Graph shown through link.

h t t p://goo.gl/GWQlw

1. Find the area of R.

2. Find the volume of the solid generated when R is rotated about the horizontal line y=-2.

3. Write, but do not evaluate, an integral expression that can be used to find the area of S.