Let f:(2.\infty)\toN be defined by f(x) = the largest prime factor of [x]. Then \int^{8}_{2}f(x)dx is equal to

KVPY SB SX Exam 2011 Question Paper

Question : 14 of 120

Marks: +1, -0

Let

f:(2.∞)→N

be defined by f(x) = the largest prime factor of [x]. Then

∫↖{8}↙{2}f(x)dx

is equal to

Solution:

∫↖{8}↙{2}f(x)dx

=2+3+2+5+3+7=22

Go to Question:

Prev Question

Next Question