Question Number 203648 by yaslm last updated on 24/Jan/24 Answered by Frix last updated on 24/Jan/24 $${w}\left({x}+\frac{{l}}{\mathrm{2}}\right)\left({x}−\frac{{l}}{\mathrm{2}}\left(\mathrm{1}−\mathrm{i}\right)\right)\left({x}−\frac{{l}}{\mathrm{2}}\left(\mathrm{1}+\mathrm{i}\right)\right)=\mathrm{0} \\ $$$${x}=−\frac{{l}}{\mathrm{2}}\vee{x}=\frac{{l}}{\mathrm{2}}\left(\mathrm{1}\pm\mathrm{i}\right) \\ $$ Commented by yaslm last…
Question Number 203650 by Davidtim last updated on 24/Jan/24 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{2}^{{x}} +\mathrm{3}^{{x}} }{\mathrm{2}}\right)^{\frac{\mathrm{2}}{{x}}} =? \\ $$ Answered by witcher3 last updated on 25/Jan/24 $$\: \\…
Question Number 203651 by Davidtim last updated on 24/Jan/24 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\left(\mathrm{2}−{x}\right)^{{tan}\left(\frac{\pi{x}}{\mathrm{2}}\right)} =? \\ $$ Answered by Mathspace last updated on 24/Jan/24 $${changement}\:\mathrm{1}−{x}={t}\:{give} \\ $$$${f}\left({x}\right)=\left(\mathrm{2}−{x}\right)^{{tan}\left(\frac{\pi{x}}{\mathrm{2}}\right)} \\…
Question Number 203615 by muneer0o0 last updated on 23/Jan/24 $${I}\:=\:\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{{x}^{\mathrm{2}} }{\mathrm{1}+\mathrm{sin}^{\mathrm{2}} \:\left({x}\right)}{dx} \\ $$ Answered by witcher3 last updated on 25/Jan/24 $$\mathrm{I}=\mathrm{Re}\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 203625 by professorleiciano last updated on 23/Jan/24 Answered by esmaeil last updated on 23/Jan/24 $$\mathrm{1}+\frac{\left({sin}^{\mathrm{2}} {x}+{cos}^{\mathrm{2}} {x}\right)^{\mathrm{2}} −\mathrm{2}{sin}^{\mathrm{2}} {xcos}^{\mathrm{2}} {x}}{{sin}^{\mathrm{2}} {xcos}^{\mathrm{2}} {x}}=\mathrm{3}\rightarrow \\…
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Question Number 203576 by sonukgindia last updated on 22/Jan/24 Answered by mr W last updated on 22/Jan/24 Commented by mr W last updated on 22/Jan/24…
Question Number 203573 by sonukgindia last updated on 22/Jan/24 Answered by esmaeil last updated on 22/Jan/24 $$\int−{e}^{{cosx}} \left(\mathrm{1}−{cos}^{\mathrm{2}} {x}−{cosx}\right){dx} \\ $$$$\int−{e}^{{cosx}} \left({sin}^{\mathrm{2}} {x}−{cosx}\right){dx}= \\ $$$$\int−{e}^{{cosx}}…
Question Number 203544 by laxmanb2111 last updated on 21/Jan/24 $$\int_{\mathrm{0}} ^{\mathrm{1}_{} } \frac{{dx}}{\left(\mathrm{1}−{x}^{\mathrm{6}} \right)^{\frac{\mathrm{1}}{\mathrm{6}}} }\:=\frac{\pi}{\mathrm{3}} \\ $$ Answered by DwaipayanShikari last updated on 23/Jan/24 $$\int_{\mathrm{0}}…