Question

The region bounded by the curve y = x^2 + 1 and the line y = x + 3 is revolved about the x-axis to generate a solid. Find the volume of the solid

Answer 1

Answer:

y=x'2+1

y=x+3

x=y-3

=>y=(y-3)'2+1

=>y=y2-6y+9+1

=>y2-7y+10

=>y=5 or 2

and

x=2 or -1

(x,y)=(2,5) or (-1,2)