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Question Number 134962 by 0731619177 last updated on 09/Mar/21 Answered by Olaf last updated on 09/Mar/21 $$\forall{x}\in\mathbb{R}^{\ast} ,\:\mathrm{arctan}{x}+\mathrm{arctan}\frac{\mathrm{1}}{{x}}\:=\:\frac{\pi}{\mathrm{2}} \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\infty} \frac{{x}\mathrm{arctan}{x}}{{x}^{\mathrm{4}} −{x}^{\mathrm{2}} +\mathrm{1}}\:{dx} \\…
Question Number 134947 by bobhans last updated on 08/Mar/21 $$\int_{\mathrm{0}} ^{\:\mathrm{2}} \:\left(\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{3}} \:}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}}\:\right)\mathrm{dx}\:?\: \\ $$ Answered by EDWIN88 last updated on 09/Mar/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\:\mathrm{2}}…
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) \\…