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Question Number 108282 by Ar Brandon last updated on 16/Aug/20

$$\mathrm{Determine}\mathrm{the}\mathrm{nature}\mathrm{of}\mathrm{the}\mathrm{integral}$$$${\int }_2^{+\mathrm{\infty }}\sqrt{{\mathrm{t}}^2+3\mathrm{t}}\ln \left(\cos \left(\frac{1}{\mathrm{t}}\right)\right){\sin }^2\left(\frac{1}{\ln \left(\mathrm{t}\right)}\right)\mathrm{dt}$$

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