Question Number 134931 by metamorfose last updated on 08/Mar/21 $${n}\:{an}\:{integer}\:,\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{\mathrm{1}}{{t}^{{n}} +\mathrm{1}}{dt}=…??\: \\ $$ Answered by Dwaipayan Shikari last updated on 08/Mar/21 $$\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 69390 by turbo msup by abdo last updated on 23/Sep/19 $${study}\:{the}\:{convergence}\:{of} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:\frac{\left(\mathrm{1}+{x}\right)^{\alpha} −\left(\mathrm{1}+{x}\right)^{\left(\beta\right.} }{{x}}{dx} \\ $$$${and}\:{determine}\:{its}\:{value} \\ $$ Terms of…
Question Number 69389 by turbo msup by abdo last updated on 23/Sep/19 $${find}\:\int_{\mid{z}+{i}\mid=\mathrm{3}} \:\:\frac{{sinz}}{{z}+{i}}{dz} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69379 by mathmax by abdo last updated on 22/Sep/19 $${calculste}\:{f}\left({a}\right)\:=\int_{−\infty} ^{+\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{x}^{\mathrm{2}} } }{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:\:\:{with}\:{a}>\mathrm{0} \\ $$ Commented by mathmax by abdo…
Question Number 69375 by mathmax by abdo last updated on 22/Sep/19 $${let}\:{f}\left(\alpha\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{cos}\left(\alpha\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{1}\right){determine}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left(\alpha\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{cos}\left(\mathrm{2}+\mathrm{2}{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+\mathrm{1}}{dx} \\…
Question Number 134904 by 0731619177 last updated on 08/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 134884 by abdullahquwatan last updated on 08/Mar/21 $$\mathrm{if}\:\mathrm{2x}^{\mathrm{3}} −\mathrm{2}=\int_{{a}} ^{\mathrm{x}} \mathrm{f}\left(\mathrm{t}\right)\mathrm{dt},\:\mathrm{then}\:\mathrm{f}\:'\left({a}\right)=… \\ $$ Answered by bemath last updated on 08/Mar/21 $$\:\frac{\mathrm{d}}{\mathrm{dx}}\:\left[\:\mathrm{2x}^{\mathrm{3}} −\mathrm{2}\:\right]=\:\mathrm{f}\left(\mathrm{x}\right) \\…
Question Number 134866 by mathmax by abdo last updated on 07/Mar/21 $$\mathrm{let}\:\mathrm{U}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{cos}\left(\mathrm{nx}\right)}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{n}^{\mathrm{2}} \right)^{\mathrm{2}} }\mathrm{dx}\:\mathrm{calculate}\:\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{e}^{\mathrm{n}^{\mathrm{2}} } \mathrm{U}_{\mathrm{n}} \\ $$ Answered by…
Question Number 134845 by mnjuly1970 last updated on 07/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:{advanced}\:\:{calculus}… \\ $$$$\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {x}\psi\left(\mathrm{1}+{x}\right){dx}=?? \\ $$$$\:\:\:\:\:\:\:\:…{m}.{n}… \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 134841 by Ar Brandon last updated on 07/Mar/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{y}^{\mathrm{2}} \mathrm{ln}\left(\frac{\mathrm{y}^{\mathrm{2}} −\mathrm{1}}{\mathrm{y}^{\mathrm{2}} }\right)\mathrm{ln}\left(\frac{\mathrm{y}+\mathrm{1}}{\mathrm{y}}\right)\mathrm{dy} \\ $$$${From}\:{Q}\mathrm{134820} \\ $$ Terms of Service Privacy Policy…