• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Cylindrical shells trouble integrating

  • Thread starter ACLerok
  • Start date
195
0
i'm told to use the method of cylindrical shells to find the volume gnerated by rotating the region bounded these curves about the y axis:
y=e^(-x^2)
y=0
x=0
x=1
Couple questions. What does the graph of y=e^(-x^2) look like? Also, i know the integral is =integral(a,b) 2(pi)x*e^(-x^2) how do i evaulate the e^(-x^2) part?
 

HallsofIvy

Science Advisor
Homework Helper
41,712
876
The graph of e-x^2 is the famous "Bell shaped curve"!

As far as the integral of x e-x^2 is concerned, try the substitution u= -x^2.
 

Related Threads for: Cylindrical shells trouble integrating

  • Posted
Replies
5
Views
4K
  • Posted
Replies
2
Views
2K
  • Posted
Replies
20
Views
18K
  • Posted
Replies
2
Views
4K
  • Posted
Replies
1
Views
6K
Replies
1
Views
7K
  • Posted
Replies
4
Views
3K
Replies
1
Views
14K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top