# Let f : (2, ∞) → N be defined by f (x) = the largest prime factor of [x]. Then  8∫     equals to-?      2  Ans. 22

$\int_{2}^{8} f(x) d= \sum_{2}^{8}largest primefactor (x)=3+2+5+3+7+2=22$
`Thanks & RegardsSher Mohammad,askIITians FacultyB.Tech.IIT Delhi.`