In fact, it is very simple.

Calculus Level 4

Evaluate the following integral. \[\int_{8}^{13} \dfrac{\lfloor x^2 \rfloor}{\lfloor x^2 \rfloor + \lfloor x^2-42x+441 \rfloor}dx\]

Notation: \(\lfloor .. \rfloor\) denotes floor function.

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