Q .     By the definition of the definite integral, the value of `lim_(n->oo)(1^4/(1^5+n^5)+2^4/(2^5+n^5)+3^4/(3^5+n^5)+......+n^4/(n^5+n^5))` is

EAMCET 2014
A

`log2`

B

`1/5log2`

C

`1/4log2`

D

`1/3log2`

HINT

Use `sum_(r=0)^(r=n)r^4/(r^5+n^5)=int_0^1x^4/(1+x^5)dx`

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