Question Number 200786 by Calculusboy last updated on 23/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 200787 by Calculusboy last updated on 23/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 200778 by sonukgindia last updated on 23/Nov/23 Answered by MM42 last updated on 23/Nov/23 $${if}\:\:{n}=\mathrm{1}\Rightarrow\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$$\left.={tan}^{−\mathrm{1}} \left({x}\right)\right]_{\mathrm{0}} ^{\infty} =\frac{\pi}{\mathrm{2}}\:…
Question Number 200773 by cortano12 last updated on 23/Nov/23 Answered by cherokeesay last updated on 23/Nov/23 Answered by Bharathi last updated on 23/Nov/23 $$\:\:\:\mathrm{Suppose}\:\mathrm{square}\:\mathrm{side}\:\mathrm{be}\:{a} \\…
Question Number 200768 by Abdullahrussell last updated on 23/Nov/23 Answered by Frix last updated on 23/Nov/23 $$\mathrm{Wrong}. \\ $$$$\mathrm{2}^{\mathrm{11}} −\mathrm{1}=\mathrm{2047}=\mathrm{23}×\mathrm{89} \\ $$ Answered by BaliramKumar…
Question Number 200801 by mnjuly1970 last updated on 23/Nov/23 Answered by witcher3 last updated on 24/Nov/23 $$\mathrm{introduce}\:\mathrm{erfc}\left(\mathrm{x}\right)=\frac{\mathrm{2}}{\:\sqrt{\pi}}\int_{\mathrm{0}} ^{\mathrm{x}} \mathrm{e}^{−\mathrm{t}^{\mathrm{2}} } \mathrm{dt} \\ $$$$\phi=\int_{\mathrm{0}} ^{\infty} \int_{\mathrm{0}}…
Question Number 200802 by mnjuly1970 last updated on 23/Nov/23 Answered by witcher3 last updated on 23/Nov/23 $$\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 Number 200696 by Bayat last updated on 22/Nov/23 Answered by aleks041103 last updated on 22/Nov/23 $$\left(\mathrm{2}^{{x}} −\mathrm{3}^{{x}} \right)^{\mathrm{2}} =\mathrm{4}^{{x}} +\mathrm{9}^{{x}} −\mathrm{2}.\mathrm{6}^{{x}} =\mathrm{6}^{{x}} −\mathrm{9}^{{x}} \\…
Question Number 200697 by Bayat last updated on 22/Nov/23 Answered by aleks041103 last updated on 22/Nov/23 $${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…
Question Number 200759 by brahim_mekkaoui last updated on 23/Nov/23 $$\mathrm{let}\:\mathrm{u}_{\mathrm{n}} =\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\frac{\mathrm{n}}{\mathrm{k}^{\mathrm{2}} +\mathrm{n}^{\mathrm{2}} }\:\mathrm{for}\:\mathrm{n}\in\mathbb{N}_{>\mathrm{0}} \:\: \\ $$$$\mathrm{show}\:\mathrm{that}\:\left(\mathrm{u}_{\mathrm{n}} \right)_{\mathrm{n}\in\mathbb{N}_{>\mathrm{0}} } \mathrm{is}\:\mathrm{increasing}. \\ $$ Terms of…