From the definition of the definite integral, we have lim
n→[infinity]
​

n
2
​
∑
i=1
n
​
(2+(
n
4i
​
)
3
)= A. ∫
0
4
​
(2+x
3
)dx B. ∫
0
2
​
(2+(2x)
3
)dx C. ∫
2
4
​
(2+x
3
)dx D. ∫
0
2
​
(2+x
3
)dx E. ∫
0
4
​
(2+(2x)
3
)dx