The value of the integral ![\int\limits^{10}_4 \frac{[x^{2}]dx}{[x^{2}-28x+196]+[x^{2}]}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B10%7D_4+%5Cfrac%7B%5Bx%5E%7B2%7D%5Ddx%7D%7B%5Bx%5E%7B2%7D-28x%2B196%5D%2B%5Bx%5E%7B2%7D%5D%7D "\int\limits^{10}_4 \frac{[x^{2}]dx}{[x^{2}-28x+196]+[x^{2}]}")
, where [x] denotes the greatest integer less than or equal to x, is:
(a) 
(b) 6
(c) 7
(d) 3
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