Question Number 84467 by jagoll last updated on 13/Mar/20 $$\int\:\mathrm{ln}\left(\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)\right)\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84456 by M±th+et£s last updated on 13/Mar/20 $${y}={ln}\sqrt{\frac{{a}+{sin}\left({x}\right)}{{b}−{sin}\left({x}\right)}} \\ $$$${if}\:\left(\frac{{dy}}{{dx}}\right)^{\mathrm{2}} −{tan}^{\mathrm{2}} \left({x}\right)=\mathrm{1} \\ $$$${show}\:{that}\:{a}={b} \\ $$ Commented by jagoll last updated on 13/Mar/20…
Question Number 149986 by mnjuly1970 last updated on 08/Aug/21 Answered by mindispower last updated on 08/Aug/21 $${ln}\left(\mathrm{1}+{e}^{{x}} \right)={x}+{ln}\left({e}^{−{x}} +\mathrm{1}\right) \\ $$$${I}=\int_{\mathrm{0}} ^{\infty} \frac{{x}}{\mathrm{1}+{e}^{\mathrm{2}{x}} }{dx}+\int_{\mathrm{0}} ^{\infty}…
Question Number 84446 by Power last updated on 13/Mar/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 18889 by Joel577 last updated on 01/Aug/17 $$\int\:\frac{{d}\left(\sqrt{\mathrm{3}{x}}\right)}{\:\sqrt{\sqrt{{x}}\:+\:\mathrm{7}}} \\ $$ Commented by Joel577 last updated on 01/Aug/17 $$\mathrm{I}\:\mathrm{got}\:\mathrm{2}\sqrt{\mathrm{3}\left(\sqrt{{x}}\:+\:\mathrm{7}\right)}\:+\:{C} \\ $$$$\mathrm{is}\:\mathrm{it}\:\mathrm{correct}? \\ $$ Commented…
Question Number 149944 by ArielVyny last updated on 08/Aug/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{t}^{\frac{{n}−\mathrm{1}}{\mathrm{2}}} }{\left(\mathrm{1}+{t}\right)^{{n}+\mathrm{1}} }{dt} \\ $$ Commented by Ar Brandon last updated on 08/Aug/21 $$\beta\left(\mathrm{m},\:\mathrm{n}\right)=\int_{\mathrm{0}}…
Question Number 84415 by TawaTawa1 last updated on 12/Mar/20 $$\int\:\sqrt{\mathrm{x}\:−\:\sqrt{\mathrm{4}\:−\:\mathrm{x}^{\mathrm{2}} }}\:\:\mathrm{dx} \\ $$ Answered by john santu last updated on 13/Mar/20 $$\mathrm{let}\:\mathrm{x}\:=\:\mathrm{2sin}\:\mathrm{t} \\ $$$$\int\:\sqrt{\mathrm{2sin}\:\mathrm{t}−\mathrm{2cos}\:\mathrm{t}}\:×\mathrm{2cos}\:\mathrm{t}\:\mathrm{dt} \\…
Question Number 84396 by Aditya789 last updated on 12/Mar/20 $$\int\frac{\mathrm{x}\sqrt{\mathrm{x}+\mathrm{1}}}{\mathrm{x}+\mathrm{2}}\mathrm{dx} \\ $$ Commented by jagoll last updated on 12/Mar/20 $$\mathrm{let}\:\sqrt{\mathrm{x}+\mathrm{1}\:}\:=\:\mathrm{u}\:\Rightarrow\:\mathrm{x}=\mathrm{u}^{\mathrm{2}} −\mathrm{1} \\ $$$$\Rightarrow\int\:\frac{\:\:\left(\mathrm{u}^{\mathrm{2}} −\mathrm{1}\right)\mathrm{u}\:\left(\mathrm{2u}\:\mathrm{du}\right)}{\mathrm{u}^{\mathrm{2}} +\mathrm{1}}\:=\:…
Question Number 84399 by Power last updated on 12/Mar/20 Commented by TANMAY PANACEA last updated on 12/Mar/20 $${excellent}\:{problem}…{need}\:{time}\:{to}\:{hit}\:{bulls}\:{eye} \\ $$ Terms of Service Privacy Policy…
Question Number 84395 by Aditya789 last updated on 12/Mar/20 $$\frac{\mathrm{x}\sqrt{\mathrm{x}+\mathrm{1}}}{\mathrm{x}+\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com