Definite Integral: Limit of a Summation

[Immersion]

Homework Statement

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.

Homework Equations

$\lim_{n \rightarrow \infty} \sum_{i=1}^{n} {(1+\frac{2}{n}(i-0.3))^{\frac{7}{5}}\frac{2}{n}$

The Attempt at a Solution

I can solve this expretion but with a integer exponent, not with a rational exponent.

 

[Immersion]

Help me, please.

 

[Dick]

That really doesn't look like a Riemann sum to me. Were you given that sum?