Question Number 34662 by math khazana by abdo last updated on 09/May/18 $${calculate}\:{I}\left({a}\right)\:\:=\int_{\frac{\mathrm{1}}{{a}}} ^{{a}} \:\:\frac{{ln}\left({x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{ln}\left({x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:. \\ $$ Terms of…
Question Number 34661 by math khazana by abdo last updated on 09/May/18 $${let}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{e}^{−\left(\mathrm{1}+{t}^{\mathrm{2}} \right){x}} }{\mathrm{1}+{t}^{\mathrm{2}} }\:{dt}\:{find}\:{a}\:{simple}\:{form}\:{of} \\ $$$${f}\left({x}\right) \\ $$ Terms of Service…
Question Number 100190 by M±th+et+s last updated on 25/Jun/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \left(\frac{{x}^{{x}} }{\left(\mathrm{1}−{x}\right)^{\mathrm{1}−{x}} }−\frac{\left(\mathrm{1}−{x}\right)^{\mathrm{1}−{x}} }{{x}^{{x}} }\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 100191 by bobhans last updated on 25/Jun/20 $$\int\:{x}^{\mathrm{2}} \:{e}^{{x}} \:{dx}\:? \\ $$ Commented by bobhans last updated on 25/Jun/20 $$\mathrm{D}.\mathrm{I}\:\mathrm{method}\:\Rightarrow\:{x}^{\mathrm{2}} {e}^{{x}} −\mathrm{2}{xe}^{{x}} +\mathrm{2}{e}^{{x}}…
Question Number 100189 by Dwaipayan Shikari last updated on 25/Jun/20 $$\int{tan}^{{i}} {xdx} \\ $$ Answered by maths mind last updated on 25/Jun/20 $$=\int\frac{{u}^{{i}} }{\left(\mathrm{1}+{u}\mathrm{2}\right)}{du} \\…
Question Number 34635 by abdo mathsup 649 cc last updated on 09/May/18 $${calculate}\:{A}\left(\alpha\right)\:\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{ln}\left(\mathrm{1}+\alpha{ix}\right){dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{ln}\left(\mathrm{1}+{ix}\right)\:{dx}\:\:\:\:\left({i}^{\mathrm{2}} \:=−\mathrm{1}\right) \\ $$ Commented by tanmay.chaudhury50@gmail.com…
Question Number 34633 by math khazana by abdo last updated on 09/May/18 $${let}\:{f}\left(\alpha\right)\:=\:\int_{−\infty} ^{+\infty} \:\:\frac{{arctan}\left(\mathrm{1}+\alpha{xi}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$${find}\:{f}\left(\alpha\right)\:. \\ $$ Terms of Service Privacy Policy…
Question Number 165685 by daus last updated on 06/Feb/22 $$\:_{\mathrm{0}} \int^{\mathrm{2}} \mid\:{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}\:\mid\:{dx}\:=?\: \\ $$ Answered by TheSupreme last updated on 07/Feb/22 $$\int_{\mathrm{0}} ^{\mathrm{2}} \mid\left({x}−\mathrm{1}\right)^{\mathrm{2}}…
Question Number 34593 by abdo mathsup 649 cc last updated on 08/May/18 $$\left.\mathrm{1}\right)\:{calculate}\:\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{cos}\left(\alpha{x}^{{n}} \right)}{{x}^{\mathrm{2}} \:+{x}\:+\mathrm{1}}\:{dx}\:\:{with}\:{n}\:{integr} \\ $$$${natural} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\:\int_{−\infty} ^{\infty} \:\:\:\:\frac{{cos}\left(\:\alpha\:{x}^{\mathrm{2}{n}} \right)}{{x}^{\mathrm{2}} \:+{x}\:+\mathrm{1}}{dx}…
Question Number 100114 by bemath last updated on 25/Jun/20 Answered by john santu last updated on 25/Jun/20 Commented by bobhans last updated on 25/Jun/20 $$\mathrm{beautifull}…