Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x axis for y=x^2+1 and y=-x^2+2x+5 at x=0 and x=3

Question

anonymous · Answer

do you want us to do it for each function or do you want the volume for the region enclosed by those functions?

anonymous · Answer

volume enclosed by the functions

anonymous · Answer

I am not able to show you all the computation. I can just show you the graph at the certain endpoints you just indicated... http://www.wolframalpha.com/input/?i=Y%3 … To determine the volume generated by revolving around the x-axis, you will need to use the washer method.. It states that V = π ∫(x = a,b) (top² - bottom²) dx The top is y = -x² + 2x + 5 while y = x² + 1 is the bottom at 0 ≤ x ≤ 2. The top is y = x² + 1 while y = -x² + 2x + 5 is the bottom at 2 ≤ x ≤ 3. You will have two integrals! You set that up by yourself! I hope this helps!