Integration problem

  • Thread starter mdnazmulh
  • Start date
  • #1
51
0

Homework Statement



I solved the integration problem but i am not sure whether my solution is correct or wrong. I attached the picture of the solution.. Kindly tell me whether it is correct or wrong.

Homework Equations



This was the problem :
[tex]\int(1- \frac{x}{a} )^{\frac{1}{n}} x dx[/tex]

The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Attachments

  • sltion.jpg
    sltion.jpg
    46.2 KB · Views: 341

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,847
969
I didn't check the whole thing since your solution is far more complicated than necessary. After you have, correctly, [itex]\int z^{1/n}(a- z)dz[/itex], do NOT use "integration by parts", just multiply:
[tex]\int (az^{1/n}- z^{1+1/n})dz= \int (az^{1/n}- z^{(n+1)/n})dz[/tex]
 

Related Threads on Integration problem

  • Last Post
Replies
4
Views
893
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
938
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
10
Views
1K
  • Last Post
Replies
9
Views
1K
  • Last Post
Replies
7
Views
997
  • Last Post
Replies
13
Views
2K
  • Last Post
Replies
2
Views
977
Top