Express the integral as a limit of sums.

  • #1

Homework Statement



Express the integral as a limit of sums. Use right endpoints. Do not evaluate the limit.
[tex]\int[/tex]sin(x[tex]^{4}[/tex]dx from 0 to 6

Homework Equations



[tex]\sum[/tex]f(xi)[tex]\Delta[/tex]x

The Attempt at a Solution



What I'm unsure of here is what exactly the question is asking. How far do I go? Is simply saying that Lim x --> [tex]\infty[/tex][tex]\sum[/tex]sin(2i/n)[tex]^{2}[/tex] sufficient?
 

Answers and Replies

  • #2
1,013
70
From the fact that it mentions "use right endpoints", it is asking you for the general form of a Riemann sum of the integrand over a rectangular partition of the interval [0, 6].
 

Related Threads on Express the integral as a limit of sums.

Replies
2
Views
2K
  • Last Post
Replies
2
Views
1K
Replies
3
Views
1K
Replies
7
Views
930
Replies
4
Views
490
  • Last Post
Replies
15
Views
2K
Replies
6
Views
11K
  • Last Post
Replies
1
Views
2K
Top