Question Number 154621 by liberty last updated on 20/Sep/21 $$\:\int\:\frac{\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}{{x}^{\mathrm{2}} +{x}}\:{dx}\: \\ $$ Commented by mathdanisur last updated on 20/Sep/21 $$=\int\:\underset{} {\underbrace{\frac{\mathrm{dx}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}}}}}\:+\int\underset{} {\underbrace{\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}}…
Question Number 89086 by M±th+et£s last updated on 15/Apr/20 $${show}\:{that} \\ $$$$\sqrt[{\mathrm{3}}]{\frac{\mathrm{2}}{\mathrm{3}}−\frac{\mathrm{5}\sqrt{\mathrm{33}}}{\mathrm{18}}}+\sqrt[{\mathrm{3}}]{\frac{\mathrm{2}}{\mathrm{3}}+\frac{\mathrm{5}\sqrt{\mathrm{33}}}{\mathrm{18}}}=\mathrm{1} \\ $$ Commented by MJS last updated on 15/Apr/20 $$\mathrm{it}'\mathrm{s}\:\mathrm{wrong}. \\ $$ Terms…
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Question Number 23548 by ajfour last updated on 01/Nov/17 Commented by ajfour last updated on 01/Nov/17 $${Find}\:\boldsymbol{{v}}\:{in}\:{terms}\:{of}\:\boldsymbol{{u}},\boldsymbol{{a}},\:\boldsymbol{{b}},\:{and}\:\boldsymbol{{l}}\: \\ $$$${at}\:{a}\:{moment}\:{when}\:{the}\:{collars} \\ $$$${at}\:{distances}\:\boldsymbol{{a}},\:{and}\:\boldsymbol{{b}}\:{from}\:{the} \\ $$$${vertical}\:{rod}\:{of}\:{the}\:{stand}. \\ $$…
Question Number 154613 by mathdanisur last updated on 20/Sep/21 $$\mathrm{There}\:\mathrm{are}\:\mathrm{3}\:\mathrm{or}\:\mathrm{more}\:\mathrm{profiles}\:\mathrm{of}\:\mathrm{this} \\ $$$$\mathrm{person}\:\mathrm{and}\:\mathrm{I}\:\mathrm{mentioned}\:\mathrm{it},\:\mathrm{he}\:\mathrm{knowes} \\ $$$$\mathrm{who}\:\mathrm{he}\:\mathrm{and}\:\mathrm{that}\:\mathrm{person}\:\mathrm{paints}\:\mathrm{what} \\ $$$$\mathrm{I}\:\mathrm{share}\:\mathrm{in}\:\mathrm{red},\:\mathrm{do}\:\mathrm{his}\:\mathrm{best},\:\mathrm{nothing}\:\mathrm{will} \\ $$$$\mathrm{chang}! \\ $$ Commented by liberty last updated…
Question Number 89079 by john santu last updated on 15/Apr/20 $$\left(\mathrm{cos}\:\mathrm{4}{x}+\mathrm{1}\right)\left(\mathrm{cos}\:\mathrm{2}{x}+\mathrm{1}\right)\left(\mathrm{cos}\:{x}+\mathrm{1}\right)=\:\frac{\mathrm{1}}{\mathrm{8}} \\ $$$$\mathrm{0}\:\leqslant\:{x}\:\leqslant\:\mathrm{2}\pi \\ $$ Answered by TANMAY PANACEA. last updated on 15/Apr/20 $$\mathrm{2}{cos}^{\mathrm{2}} \mathrm{2}{x}.\mathrm{2}{cos}^{\mathrm{2}}…
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Question Number 89074 by Alhaji Bai Sama last updated on 15/Apr/20 $$×^{\mathrm{4}} +×^{\mathrm{2}} =\mathrm{1} \\ $$ Commented by john santu last updated on 15/Apr/20 $${x}^{\mathrm{4}}…
Question Number 23539 by tapan das last updated on 01/Nov/17 $$\int\mathrm{tan}\:^{\mathrm{6}} \mathrm{x}\:\mathrm{dx} \\ $$ Answered by $@ty@m last updated on 01/Nov/17 $$\int\mathrm{tan}\:^{\mathrm{4}} {x}\left(\mathrm{sec}\:^{\mathrm{2}} {x}−\mathrm{1}\right){dx} \\…