Determine a region whose area is equal to the given limit. Do not evaluate the limit.\\
$\lim_{n \to \infty} \sum_{i=1}^{n} \frac{1}{n} \left(\frac{i}{n}\right)^{7}$\
$x^8$ on $[0, 1]$\
$x^8$ on $[1, 2]$\
$x^7$ on $[1, 2]$\
$x^7$ on $[0, 1]$\
$x^6$ on $[0, 1]$
