Mathematics

Problem

The value of the integral

\int_{4}^{10} \frac{[x^2]}{[x^2 - 28x + 196] + [x^2]}\, dx

, where

[x]

denotes the greatest integer less than or equal to

x

, is : (1) 7 (2) 6 (3) 3 (4)

\frac{1}{3}