Question Number 11982 by tawa last updated on 08/Apr/17 $$\int\mathrm{x}^{\mathrm{5}} \left(\sqrt{\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{1}}\right)\:\mathrm{dx} \\ $$ Answered by ajfour last updated on 08/Apr/17 $${I}=\frac{\mathrm{1}}{\mathrm{3}}\int{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{3}} +\mathrm{1}}\:\left(\mathrm{3}{x}^{\mathrm{2}} {dx}\right)…
Question Number 143051 by mnjuly1970 last updated on 09/Jun/21 $$\:\:\:\:\:\:\:_{\ast\ast\ast\ast\ast} ::\:\:{Lobachevsky}\:{Integral}\:::_{\ast\ast\ast\ast\ast} \\ $$$$\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}:=\int_{\mathrm{0}} ^{\:\infty} \frac{\mathrm{s}{in}^{\mathrm{2}} \left(\:{tan}\left({x}\right)\right)}{{x}^{\:\mathrm{2}} }{dx}\overset{?} {=}\frac{\pi}{\mathrm{2}} \\ $$$$\:\:\:\:………. \\ $$ Answered by Olaf_Thorendsen…
Question Number 11937 by tawa last updated on 05/Apr/17 $$\int\frac{\mathrm{dx}}{\:\sqrt{\mathrm{5}\:+\:\mathrm{4x}\:−\:\mathrm{x}^{\mathrm{2}} }}\: \\ $$$$ \\ $$$$ \\ $$$$\mathrm{is}\:\mathrm{this}\:\mathrm{answer}\:\mathrm{correct}\:?\:\:\:\:\:\:\:\:\:\:\:−\mathrm{ln}\left[\mathrm{1}/\mathrm{4}\left(\mathrm{x}\:−\:\mathrm{5}\right)\:−\:\mathrm{ln6}\left(−\:\mathrm{1}\:−\:\mathrm{x}\right)\right]\:+\:\mathrm{C} \\ $$ Commented by ridwan balatif last updated…
Question Number 142989 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{e}^{−\mathrm{3x}^{\mathrm{2}} } }{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 142990 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } }{\left(\mathrm{3}+\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by qaz last updated…
Question Number 77452 by Sayantan chakraborty last updated on 06/Jan/20 $$\int\mathrm{e}^{\mathrm{x}^{\mathrm{3}} +\mathrm{x}^{\mathrm{2}} −\mathrm{1}} \left(\mathrm{3x}^{\mathrm{4}} +\mathrm{2x}^{\mathrm{2}} +\mathrm{2x}\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 11913 by tawa last updated on 04/Apr/17 $$\int\mathrm{x}^{\mathrm{x}^{\mathrm{x}} \:\:} \:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142983 by mnjuly1970 last updated on 08/Jun/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77447 by TawaTawa last updated on 06/Jan/20 $$\int\:\mathrm{tan}\left(\mathrm{x}\right)\:\mathrm{tan}\left(\mathrm{2x}\right)\:\mathrm{tan}\left(\mathrm{3x}\right)\:\mathrm{dx} \\ $$ Answered by peter frank last updated on 06/Jan/20 $$\mathrm{tan}\:\mathrm{3}{x}=\frac{\mathrm{tan}\:{x}+\mathrm{tan}\:\mathrm{2}{x}}{\mathrm{1}−\mathrm{tan}\:{x}\mathrm{tan}\:\mathrm{2}{x}} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}−\mathrm{tan}{x}\:\mathrm{tan2}{x}\:\mathrm{tan}\:\mathrm{3}{x}=\mathrm{tan}{x}+\:\mathrm{tan}\:\mathrm{2}{x} \\ $$$$\mathrm{tan}{x}\:\mathrm{tan2}{x}\:\mathrm{tan}\:\mathrm{3}{x}=\mathrm{tan3}{x}−\:\mathrm{tan}\:\mathrm{2}{x}−\mathrm{tan}{x}\:…
Question Number 77424 by aliesam last updated on 06/Jan/20 $$\int_{\mathrm{0}} ^{\infty} {e}^{\left({e}^{{x}} −\mathrm{1}\right)^{{t}} \:\left({A}\right)} \:{dx} \\ $$$${A}\:{and}\:{t}\:{are}\:{constant} \\ $$ Terms of Service Privacy Policy Contact:…