Question Number 18650 by thukada last updated on 26/Jul/17 $$\int{dx}/{x}\sqrt{{x}^{\mathrm{4}} −\mathrm{1}} \\ $$ Answered by sma3l2996 last updated on 26/Jul/17 $${A}=\int\frac{{dx}}{{x}\sqrt{{x}^{\mathrm{4}} −\mathrm{1}}} \\ $$$${let}\:\:{t}=\sqrt{{x}^{\mathrm{4}} −\mathrm{1}}\Rightarrow{dt}=\frac{\mathrm{2}{x}^{\mathrm{3}}…
Question Number 84170 by jagoll last updated on 10/Mar/20 $$\int\:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{3}} \:\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{4}−\mathrm{x}^{\mathrm{3}} }}\:?\: \\ $$ Answered by john santu last updated on 10/Mar/20 $$\int\:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{4}} \:\sqrt[{\mathrm{3}\:\:}]{\frac{\mathrm{4}}{\mathrm{x}^{\mathrm{3}} }−\mathrm{1}}}\:=\:…
Question Number 18639 by 99 last updated on 26/Jul/17 $$\int\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }\:{dx} \\ $$$${please}\:{solve}\:{this}\:{question}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84165 by M±th+et£s last updated on 10/Mar/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left({x}+\mathrm{2}\right)}{{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{4}}\:{dx} \\ $$ Commented by mathmax by abdo last updated on 10/Mar/20 $${I}\:=\int_{\mathrm{0}}…
Question Number 84163 by john santu last updated on 10/Mar/20 $$\int\:\mathrm{sin}\:\left(\mathrm{50}{x}\right)\:\mathrm{sin}\:^{\mathrm{49}} \left({x}\right)\:{dx}\:? \\ $$ Answered by jagoll last updated on 10/Mar/20 $$\mathrm{sin}\:\mathrm{50x}\:=\:\mathrm{sin}\:\mathrm{49x}\:\mathrm{cos}\:\mathrm{x}\:+\:\mathrm{cos}\:\mathrm{49x}\:\mathrm{sin}\:\mathrm{x} \\ $$$$\int\:\mathrm{sin}\:^{\mathrm{49}} \mathrm{x}\:\mathrm{sin}\:\mathrm{49x}\:\mathrm{cos}\:\mathrm{x}\:\mathrm{dx}\:+…
Question Number 149673 by mnjuly1970 last updated on 06/Aug/21 $$\:\:\:\mathrm{solve}\::: \\ $$$$\left[\:\mathrm{1}\right]\:\:\:\:\boldsymbol{\phi}\::=\:\int_{\mathrm{0}} ^{\:\:\infty\:} \frac{{ln}^{\:\mathrm{2}} \:\left({e}\:{x}\:\right)}{{e}^{\:\mathrm{4}} \:+{x}^{\:\mathrm{2}} }\:{dx}\:=\frac{\pi\:{k}}{{e}^{\:\mathrm{2}} } \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{k}:=\:? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\left[\:\mathrm{2}\:\right]\:\:\:\Omega\::=\:\int_{\mathrm{0}\:} ^{\:\infty}…
Question Number 84135 by M±th+et£s last updated on 09/Mar/20 $${find}\:{the}\:{area}\:{between}\:{the}\:{function}\: \\ $$$${y}=\mathrm{2}{sin}\mathrm{2}{x}\:−\mathrm{1}\:{and}\:\:{the}\:{x}−{axis}\:\:{on}\:\left[−\pi,\frac{\pi}{\mathrm{2}}\right] \\ $$ Answered by Rio Michael last updated on 09/Mar/20 $$\int_{−\pi} ^{\frac{\pi}{\mathrm{2}}} \left(\mathrm{2sin}\:\mathrm{2}{x}−\mathrm{1}\right){dx}…
Question Number 18590 by Joel577 last updated on 25/Jul/17 $$\int\:\frac{\mathrm{sin}\:{x}}{\mathrm{1}\:+\:\mathrm{cos}^{\mathrm{2}} \:{x}}\:{dx} \\ $$ Answered by Arnab Maiti last updated on 25/Jul/17 $$\mathrm{put}\:\mathrm{cos}\:\mathrm{x}=\mathrm{z} \\ $$$$\:\:\:\:\:−\mathrm{sin}\:\mathrm{x}\:\mathrm{dx}=\mathrm{dz} \\…
Question Number 84106 by jagoll last updated on 09/Mar/20 $$\int\:\frac{\mathrm{x}^{\mathrm{4}} }{\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{4}} }}\:\mathrm{dx}\:=\:? \\ $$ Commented by MJS last updated on 09/Mar/20 $${t}=\sqrt{\mathrm{sin}\:{x}}\:\rightarrow\:{dx}=\frac{\sqrt{\mathrm{1}−{x}^{\mathrm{4}} }}{\mathrm{2}{x}}{dt} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\int\left(\mathrm{sin}\:{t}\right)^{\frac{\mathrm{3}}{\mathrm{2}}}…
Question Number 84100 by niroj last updated on 09/Mar/20 $$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equations}: \\ $$$$\:\:\mathrm{x}\frac{\mathrm{dy}}{\mathrm{dx}}=\:\mathrm{y}−\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} } \\ $$ Answered by TANMAY PANACEA last updated on 09/Mar/20 $${xdy}−{ydx}=−\sqrt{{x}^{\mathrm{2}}…