help out pls
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- unanswered
- 417 views
- Pro Bono
Related Questions
- Calculus - Derivatives (help with finding a geocache)
- Compute $\lim_{n \rightarrow \infty} \ln \frac{n!}{n^n}$
- Calculus - 2nd order differential equations and partial derivatives
- Improper integral convergence
- What is this question asking and how do you solve it?
- Is $\int_0^{\infty}\frac{x+3}{x^2+\cos x}$ convergent?
- Profit maximizing with cost and price functions
- Convergence of $\int_{1}^{\infty} e^{\sin(x)}\cdot\frac{\sin(x)}{x^2} $
I'm not sure of the definitions you use, when you write integral over the interval [12, 0] (is this intended?) does it mean the same as over the interval [0, 12], or does it mean to integrate from 12 to 0 which would imply a change of sign?
Also, a Riemann sum depends on the chosen partition of the interval. It is not enough to know just the *number* of subintervals. Although one frequently uses equidistant partitions (x_k = a + k * (b-a)/n , k = 0,..., n), this is by no means the only choice. I guess, though, that this is what your teacher means. So you just have to add up the four numbers f(x_k) with k=0,1,2,3 (for the left endpoints) and k=1,2,3,4 for the right endpoints, and multiply by the width (12 - 0)/4 of the intervals.