# Definite Integral: Limit of a Summation

by Immersion
Tags: exponent, integral, limit, rational, summation
 P: 3 1. The problem statement, all variables and given/known data Hi guys, i have a exercise of the limit of a summation that is the formal definition of definite integral and i need resolve and explain, but i can't resolve for the rational exponent, for this, need help, thanks in advance. 2. Relevant equations $\lim_{n \rightarrow \infty} \sum_{i=1}^{n} {(1+\frac{2}{n}(i-0.3))^{\frac{7}{5}}\frac{2}{n}$ 3. The attempt at a solution I can solve this expretion but with a integer exponent, not with a rational exponent.