Integral inequality with sin proof

  • Thread starter ptolema
  • Start date
  • #1
83
0

Homework Statement



prove that
integral.jpg
for all x>0

Homework Equations



-1 [tex]\leq[/tex] sin t [tex]\leq[/tex] 1

The Attempt at a Solution


the area under the graph is increasing as x increases
also, i tried to write it the sigma way:
leibsigma-1.jpg
then take the limit as n-->infinity
i got stuck trying to figure out how to work with sine in sigma notation, but i'm not even sure if my attempt would get anywhere

can anyone give me any pointers on how to do this?
 

Answers and Replies

  • #2
737
0
As x increases, when will the value of the integral be increasing, when will it be decreasing?
 

Related Threads on Integral inequality with sin proof

Replies
4
Views
536
Replies
4
Views
4K
Replies
4
Views
846
Replies
1
Views
6K
Replies
4
Views
3K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
8
Views
738
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
8
Views
1K
Top