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Integral Calculus

Let f : (2, ∞) → N be defined by f (x) = the largest prime factor of [x]. Then

8

∫ equals to-?

2

Ans. 22

Abhisek Roy

13 Years agoGrade

1 Answer

Sher Mohammad

12 Years ago

Not including the lower limit in answer, we have to check largest prime factor of 3,4,5,6,7,8
$\int_{2}^{8} f(x) d= \sum_{2}^{8}largest primefactor (x)=3+2+5+3+7+2=22$

Thanks & Regards
Sher Mohammad,
askIITians Faculty
B.Tech.
IIT Delhi.

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