Expressing limits as definite integrals

**ioke09** · November 25th 2010, 04:30 PM

Express the limit as a definite integral. [Hint: Consider f(x) = 4x^8.]

How would I start a problem like this?

**Plato** · November 25th 2010, 05:02 PM

With twenty other postings, you should understand that this is not a homework service nor is it a tutorial service.
PLease either post some of your own work on this problem or explain what you do not understand about the question.

**mr fantastic** · November 25th 2010, 05:03 PM

Originally Posted by ioke09

Express the limit as a definite integral. [Hint: Consider f(x) = 4x^8.]

How would I start a problem like this?

Review your notes or textbook on Riemann sums.

**chisigma** · November 25th 2010, 05:53 PM

If f(*) is Riemann-integrable in [a,b] , then...

$\displaystyle \int_{a}^{b} f(t)\ dt = \lim_{n \rightarrow \infty} \frac{b-a}{n} \sum_{i=1}^{n} f(a + i\ \frac{b-a}{n})$ (1)

Kind regards

$\chi$ $\sigma$

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