Question Number 17522 by sayan last updated on 07/Jul/17 $$\int\frac{{dx}}{\mathrm{sin}\:^{\mathrm{5}} {x}+\mathrm{cos}\:^{\mathrm{5}} {x}} \\ $$ Commented by 1kanika# last updated on 07/Jul/17 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{answere}\:. \\ $$ Terms…
Question Number 148594 by mathdanisur last updated on 29/Jul/21 $${Solve}\:{for}\:{equation}: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \:=\:{xy}+{xz}+{yz}\:\:\:\Rightarrow\:\:{x};{y};{z}=? \\ $$ Commented by Rasheed.Sindhi last updated on 29/Jul/21 $${One}\:{general}\:{solution}:…
Question Number 17520 by 1kanika# last updated on 07/Jul/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{coordinate}\:\mathrm{of}\:\mathrm{the}\:\mathrm{point}\:\mathrm{in} \\ $$$$\mathrm{R}\Lambda\mathrm{3}\:\mathrm{which}\:\mathrm{is}\:\mathrm{the}\:\mathrm{reflection}\:\mathrm{the}\:\mathrm{point} \\ $$$$\left(\mathrm{1},\mathrm{2},\mathrm{3}\right)\:\mathrm{with}\:\mathrm{respect}\:\mathrm{to}\:\mathrm{plane}\: \\ $$$$\mathrm{X}+\mathrm{Y}+\mathrm{Z}=\mathrm{1}\:. \\ $$ Commented by 1kanika# last updated on 07/Jul/17…
Question Number 83050 by TawaTawa1 last updated on 27/Feb/20 Commented by TawaTawa1 last updated on 27/Feb/20 $$\mathrm{A}\:\mathrm{uniform}\:\mathrm{beam}\:\mathrm{6}.\mathrm{0m}\:\mathrm{long}\:\mathrm{and}\:\mathrm{weighing}\:\:\mathrm{4kg}\:\:\:… \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 17514 by sma3l2996 last updated on 07/Jul/17 $${S}\left({n}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{\mathrm{2}{n}} {sin}\left(\mathrm{2}{n}\pi{x}\right){dx} \\ $$ Commented by alex041103 last updated on 07/Jul/17 $$\mathrm{Is}\:{n}\:\mathrm{a}\:\mathrm{whole}\:\mathrm{number}? \\ $$…
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Question Number 17512 by tawa tawa last updated on 06/Jul/17 $$\int\:\frac{\mathrm{e}^{−\mathrm{t}} \:\mathrm{ln}\left(\mathrm{1}\:+\:\mathrm{e}^{−\mathrm{t}} \right)}{\mathrm{1}\:+\:\mathrm{e}^{−\mathrm{t}} }\:\mathrm{dt} \\ $$ Answered by sma3l2996 last updated on 07/Jul/17 $${I}=\int\frac{{e}^{−{t}} {ln}\left(\mathrm{1}+{e}^{−{t}}…
Question Number 83042 by ~blr237~ last updated on 27/Feb/20 $${let}\:\:{a},{b}\:{two}\:{positive}\:{reals}\:{such}\:{as}\:\:{a}^{\mathrm{2}} −{b}^{\mathrm{2}} ={ab} \\ $$$${Explicit}\:\:\:{f}\left({a},{b}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{du}}{\:\sqrt{{a}+{bsin}^{\mathrm{2}} {u}}}\: \\ $$ Commented by mathmax by abdo last…
Question Number 17506 by tawa tawa last updated on 06/Jul/17 $$\int\:\mathrm{tan}^{−\mathrm{1}} \left(\sqrt{\frac{\mathrm{x}\:+\:\mathrm{1}}{\mathrm{x}\:−\:\mathrm{1}}}\right)\:\mathrm{dx} \\ $$ Answered by sma3l2996 last updated on 06/Jul/17 $${u}={tan}^{−\mathrm{1}} \left(\sqrt{\frac{{x}+\mathrm{1}}{{x}−\mathrm{1}}}\right)\Rightarrow{u}'=\frac{−\mathrm{1}}{\mathrm{2}{x}\sqrt{\left({x}−\mathrm{1}\right)\left({x}+\mathrm{1}\right)}}=\frac{−\mathrm{1}}{\mathrm{2}{x}\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}} \\…
Question Number 148573 by mathdanisur last updated on 29/Jul/21 $${log}_{\sqrt{\boldsymbol{{x}}}} \:\frac{{x}}{{y}}\:=\:{A}\:\:\Rightarrow\:\:{log}_{\sqrt{\boldsymbol{{y}}}} \:\frac{{y}}{{x}}\:=\:? \\ $$ Answered by Ar Brandon last updated on 29/Jul/21 $${A}=\mathrm{log}_{\sqrt{{x}}} \frac{{x}}{{y}}=\mathrm{log}_{\sqrt{{x}}} {x}−\mathrm{log}_{\sqrt{{x}}}…