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Question Number 84987 by Jidda28 last updated on 18/Mar/20
$$\boldsymbol{{I}}{negrate} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{4}} \left(\varrho^{{t}} \boldsymbol{{B}}_{{n}} \mathrm{sin}\:\frac{{n}\pi}{\mathrm{4}}\right)^{\mathrm{2}} {tdt} \\ $$