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Question Number 13128 by Madhuri Dixit last updated on 15/May/17

$$\mathrm{If}\left[x\right]\mathrm{stands}\mathrm{for}\mathrm{the}\mathrm{greatest}\mathrm{integer}$$$$\mathrm{function},\mathrm{the}\mathrm{value}\mathrm{of}$$$$\underset{4}{\stackrel{10}{\int }}\frac{\left[x^2\right]}{[x^2-28x+196]+\left[x^2\right]}dx\mathrm{is}$$

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