How would I solve these?

Let y = f (x) be the particular solution to the differential equation dy _ x3 +1 with initial condition f(1) = 0. Find the particular solution to this differential equation, then find the value of f(2) ? f ( 2 ) = ( 2 ) ' 16. Let R be the region in the first quadrant bounded by the graph of y = 2vx, the horizontal line y = 6, and the y-axis, as shown. All equations entered into a calculator must be shown on paper. A) Find the area of R * = [ ( 2 V ) - 1 6 ) dx = 18 * (9.6) B) Find the volume of the solid generated by rotating R about the y-axis. [ ( 2 V X ) ( 6 ) x = 10% C) Find the volume of the solid generated by rotating R about the line y = 8 D) Find the volume of the solid with cross sections perpendicular to the x-axis that are equilateral triangles. E) Find the volume of the solid with cross sections perpendicular to the y-axis that are rectangles with a height of 3. 9