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

Integral of x(e^x)

  • Thread starter theRukus
  • Start date
  • #1
49
0

Homework Statement


What is the integral of x(e^x)?


The Attempt at a Solution


It's part of a larger question. I've got a midterm tomorrow and just realized I don't know the principles of integrating e^x other than that the integral of e^x is e^x. I've scoured my textbook and cannot find it. Could anyone provide insight?
 

Answers and Replies

  • #2
Char. Limit
Gold Member
1,204
14
What you're looking for is integration by parts, which can be proven from the Product Rule. If

[tex]d(uv) = v du + u dv[/tex]

Then subtract v du and integrate:

[tex]\int u dv = \int d(uv) - \int v du = uv - \int v du[/tex]
 

Related Threads on Integral of x(e^x)

  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
6
Views
23K
Replies
15
Views
51K
  • Last Post
Replies
7
Views
23K
  • Last Post
Replies
19
Views
4K
  • Last Post
Replies
12
Views
52K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
8
Views
29K
  • Last Post
Replies
1
Views
3K
Top