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Author: Tinku Tara

Question-200785

Question Number 200785 by cortano12 last updated on 23/Nov/23 Answered by som(math1967) last updated on 24/Nov/23 $$\:\frac{{AB}}{{sin}\mathrm{105}}=\frac{{AT}}{{sin}\mathrm{45}} \\ $$$$\Rightarrow{AB}=\mathrm{24}×{sin}\mathrm{75}×\sqrt{\mathrm{2}} \\ $$$$\:\measuredangle{ATC}=\measuredangle{ACT}=\mathrm{75} \\ $$$$\therefore{AT}={AC}=\mathrm{24}{cm} \\ $$$$\bigtriangleup{ABC}=\frac{\mathrm{1}}{\mathrm{2}}×{AB}×{AC}×{sin}\mathrm{60}…

Question-200778

Question Number 200778 by sonukgindia last updated on 23/Nov/23 Answered by MM42 last updated on 23/Nov/23 $${if}\:\:{n}=\mathrm{1}\Rightarrow\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$$\left.={tan}^{−\mathrm{1}} \left({x}\right)\right]_{\mathrm{0}} ^{\infty} =\frac{\pi}{\mathrm{2}}\:…

Question-200801

Question Number 200801 by mnjuly1970 last updated on 23/Nov/23 Answered by witcher3 last updated on 24/Nov/23 $$\mathrm{introduce}\:\mathrm{erfc}\left(\mathrm{x}\right)=\frac{\mathrm{2}}{\:\sqrt{\pi}}\int_{\mathrm{0}} ^{\mathrm{x}} \mathrm{e}^{−\mathrm{t}^{\mathrm{2}} } \mathrm{dt} \\ $$$$\phi=\int_{\mathrm{0}} ^{\infty} \int_{\mathrm{0}}…

Question-200802

Question Number 200802 by mnjuly1970 last updated on 23/Nov/23 Answered by witcher3 last updated on 23/Nov/23 $$\int_{\mathrm{0}} ^{\infty} \mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \mathrm{dx}=\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\infty} \mathrm{t}^{\frac{\mathrm{1}}{\mathrm{2}}−\mathrm{1}} \mathrm{e}^{−\mathrm{t}} \mathrm{dt},\mathrm{x}^{\mathrm{2}}…

Question-200697

Question Number 200697 by Bayat last updated on 22/Nov/23 Answered by aleks041103 last updated on 22/Nov/23 $${sin}\left(\mathrm{2}{t}\right)=\mathrm{2}{sin}\left({t}\right){cos}\left({t}\right) \\ $$$$\Rightarrow\int\frac{{sin}\left(\mathrm{2}{t}\right)}{\mathrm{2}{sin}\left({t}\right)}{dt}=\int{cos}\left({t}\right){dt}={sin}\left({t}\right)+{C} \\ $$ Terms of Service Privacy…