Question Number 139912 by mnjuly1970 last updated on 02/May/21 $$ \\ $$$$\:\:\:\:\:{prove}\:{that}::\: \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\Omega}\::=\int_{\mathrm{0}} ^{\:\frac{\mathrm{1}}{\mathrm{2}}} \frac{{dx}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}\:={log}\left(\varphi\right) \\ $$$$\:\:\:\:\:\:\:\:\varphi:={golden}\:{ratio}\:… \\ $$$$ \\ $$ Answered by…
Question Number 74367 by Learner-123 last updated on 23/Nov/19 $${Solve}\:: \\ $$$$\left({D}^{\mathrm{4}} +\mathrm{4}\right){y}=\mathrm{0}\: \\ $$$${given}:\:{y}\left(\mathrm{0}\right)=\mathrm{0}\:,\:{y}'\left(\mathrm{0}\right)=\mathrm{2}\:,\:{y}''\left(\mathrm{0}\right)=\mathrm{0}\:{and} \\ $$$${y}'''\left(\mathrm{0}\right)=\mathrm{4}. \\ $$ Commented by mr W last updated…
Question Number 139889 by qaz last updated on 02/May/21 $$\int_{\mathrm{0}} ^{\mathrm{4}} \frac{\mathrm{tan}^{−\mathrm{1}} {x}}{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{2}}{dx}=? \\ $$ Commented by qaz last updated on 02/May/21 $${I}=\int_{\mathrm{0}} ^{\mathrm{4}}…
Question Number 74348 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({sin}\left({x}^{\mathrm{2}} \right)\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 74346 by mathmax by abdo last updated on 22/Nov/19 $${find}\:\int\:\:\frac{{x}+\sqrt{{x}+\mathrm{1}}}{\mathrm{2}\sqrt{{x}−\mathrm{1}}+\mathrm{3}}{dx} \\ $$ Answered by MJS last updated on 24/Nov/19 $$\int\frac{{x}+\sqrt{{x}+\mathrm{1}}}{\mathrm{3}+\mathrm{2}\sqrt{{x}−\mathrm{1}}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{2}\sqrt{{x}−\mathrm{1}}\:\rightarrow\:{dx}=\sqrt{{x}−\mathrm{1}}{dt}\right] \\…
Question Number 74349 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{cos}\left(\mathrm{2}\pi{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by abdomathmax last updated on 23/Nov/19…
Question Number 74347 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{arctan}\left({cos}\left(\pi{x}^{\mathrm{2}} \right)\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74344 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int\:\:\:\:\:\frac{{x}^{\mathrm{2}} −{x}+\mathrm{3}}{{x}^{\mathrm{3}} \left({x}+\mathrm{2}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 139883 by qaz last updated on 02/May/21 $$\int_{\mathrm{0}} ^{\pi} \mathrm{sin}\:^{\mathrm{2}{n}} {xdx}=? \\ $$ Answered by Dwaipayan Shikari last updated on 02/May/21 $$\int_{\mathrm{0}} ^{\pi}…
Question Number 8808 by tawakalitu last updated on 28/Oct/16 $$\int_{\frac{\pi}{\mathrm{12}}\:} ^{\frac{\pi}{\mathrm{4}}} \:\mathrm{cos}^{\mathrm{2}} \mathrm{x}\:\:\mathrm{dx} \\ $$ Commented by ridwan balatif last updated on 29/Oct/16 $$\mathrm{remember}:\: \\…