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The value of the integral ∫([x^2]dx/[x^2 - 28x + 196] + [x^2]) for x [4, 10] where [x] denotes the greatest integer less than

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The value of the integral ∫([x2]dx/[x2 - 28x + 196] + [x2]) for x [4, 10] where [x] denotes the greatest integer less than or equal to x, is

(A) 1/3 

(B) 6 

(C) 7 

(D) 3

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Answer is (D) 3

 We have

Let us use the following property:

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