conniechung
New member
- Joined
- May 28, 2016
- Messages
- 2
Hi, so I'm having trouble with one of my online calc homework..
Consider the following.
x=y+y^3 from 0 to 4
(a) Set up an integral for the area of the surface obtained by rotating the curve about the x-axis and the y-axis.
(i) the x-axis, the answer is S= 2piy(sqrt((3y^2+1)^2)+1)dy
(ii) the y-axis, the answer is S= 2pi(y^3+y)sqrt((3y^2+1)^2+1)dy
(b) Use the numerical integration capability of a calculator to evaluate the surface areas correct to four decimal places.
(i) the x-axis, the answer is 1258.6212
(ii) the y-axis, I'm really stuck on how to take the integral. I used wolfram to show how they did it, but I don't understand how they got it! I would really like to understand how to do this problem!
Thank you in advanced!
Consider the following.
x=y+y^3 from 0 to 4
(a) Set up an integral for the area of the surface obtained by rotating the curve about the x-axis and the y-axis.
(i) the x-axis, the answer is S= 2piy(sqrt((3y^2+1)^2)+1)dy
(ii) the y-axis, the answer is S= 2pi(y^3+y)sqrt((3y^2+1)^2+1)dy
(b) Use the numerical integration capability of a calculator to evaluate the surface areas correct to four decimal places.
(i) the x-axis, the answer is 1258.6212
(ii) the y-axis, I'm really stuck on how to take the integral. I used wolfram to show how they did it, but I don't understand how they got it! I would really like to understand how to do this problem!
Thank you in advanced!