Intergrating e

  • Thread starter rugapark
  • Start date
  • #1
22
0
intergrating "e"

I'm doing some intergration q's and I'm stuck on one which involves e


[x^2 e^(x^3) ]dx


I know to integrate you "add one to the power and divide by the new power.. would that make the solution

((x^3)/3) ((e^(x^4))/(x^4)? hope that makes a bit of sense..
 

Answers and Replies

  • #3
nicksauce
Science Advisor
Homework Helper
1,272
5


Nope it doesn't really make sense

First,
[tex]\int f(x)g(x)dx\neq \int f(x)dx \int g(x)dx [/tex]
Second,
[tex]\int e^{x^n}dx \neq \frac{e^{x^{n+1}}}{x^{n+1}}[/tex]

That sort of rule only works for the forms x^n and not anything else. The "only" way to integrate an exponential, is to use [tex]\int e^xdx = e^x[/tex]. In this case, you can't do that directly, but a substituion u = x^3 should do the trick.
 
Last edited:
  • #4
22
0


great - cheers for that i get it now :)
 

Related Threads on Intergrating e

  • Last Post
Replies
13
Views
2K
  • Last Post
Replies
4
Views
1K
Replies
3
Views
1K
  • Last Post
Replies
3
Views
2K
Replies
6
Views
5K
Replies
3
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
971
Top