Question Number 141568 by sarkor last updated on 20/May/21 Commented by Dwaipayan Shikari last updated on 20/May/21 $${Area}\:{between}\:{this}\:{curves} \\ $$$$\sqrt{{x}}={x}^{\mathrm{2}} \Rightarrow{x}=\mathrm{1}\:\left({Meeting}\:{point}\right) \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{{x}}−{x}^{\mathrm{2}}…
Question Number 141570 by ayb last updated on 21/May/21 Answered by MathematicalUser2357 last updated on 29/Dec/23 $$\mathrm{And}\:\mathrm{that}'\mathrm{s}\:\mathrm{your}\:\mathrm{answer}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 141551 by sarkor last updated on 20/May/21 Commented by mr W last updated on 20/May/21 $${you}\:{have}\:{posted}\:{alot}\:{of}\:{posts}\:{which} \\ $$$${are}\:{meaningless},\:{because}\:{it}\:{is}\:{not} \\ $$$${clear}\:{what}\:{your}\:{question}\:{is}. \\ $$ Commented…
Question Number 141413 by Willson last updated on 18/May/21 $$\underset{\:\mathrm{1}} {\int}^{\:+\infty} \left(\frac{\mathrm{1}}{\mathrm{E}\left(\mathrm{x}\right)}−\frac{\mathrm{1}}{\mathrm{x}}\right)\mathrm{dx}=??? \\ $$ Answered by Mathspace last updated on 18/May/21 $$=\sum_{{n}=\mathrm{1}} ^{\infty\:} \int_{{n}} ^{{n}+\mathrm{1}}…
Question Number 75736 by mathmax by abdo last updated on 16/Dec/19 $${let}\:{A}_{{n}} =\:\begin{pmatrix}{\frac{\pi}{{n}}\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{−\mathrm{1}\:\:\:\:\:\:\:\:\frac{\pi}{{n}}}\end{pmatrix}\:\:\:\:{with}\:{n}\:{integr}\:{natural}\:{not}\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{A}_{{n}} ^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} ^{{n}} \\ $$ Terms of Service…
Question Number 75735 by mathmax by abdo last updated on 16/Dec/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{3}\:\:\:\:\:\:\:\:\:\:−\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{e}^{{A}} \:{and}\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{cosA}\:{and}\:{sinA} \\ $$ Commented by abdomathmax last…
Question Number 10170 by Joel575 last updated on 28/Jan/17 $${y}\:.\:{f}\left({xy}\right)\:=\:{f}\left({x}\right)\:\:\:\:\:\:\:\:{x},\mathrm{y}\:\in\:\mathbb{R} \\ $$$$\mathrm{If}\:{f}\left(\mathrm{4}\right)\:=\:\mathrm{1006},\:\mathrm{so}\:{f}\left(\mathrm{2012}\right)\:=\:? \\ $$ Answered by ridwan balatif last updated on 28/Jan/17 $$\mathrm{f}\left(\mathrm{xy}\right)=\frac{\mathrm{f}\left(\mathrm{x}\right)}{\mathrm{y}},\:\:\:\:\mathrm{f}\left(\mathrm{4}\right)=\mathrm{1006} \\ $$$$\mathrm{if}\:\mathrm{x}=\mathrm{1}\:\mathrm{y}=\mathrm{4},\mathrm{then}…
Question Number 141220 by mathmax by abdo last updated on 16/May/21 $$\mathrm{calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{logx}}{\mathrm{1}+\mathrm{x}^{\mathrm{4}} }\:\mathrm{dx} \\ $$ Answered by Ar Brandon last updated on 16/May/21…
Question Number 141219 by mathmax by abdo last updated on 16/May/21 $$\mathrm{find}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\mathrm{e}^{−\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)} \sqrt{\mathrm{x}^{\mathrm{4}} +\mathrm{y}^{\mathrm{4}} }\mathrm{dxdy} \\ $$ Answered by Ar Brandon…
Question Number 141218 by mathmax by abdo last updated on 16/May/21 $$\mathrm{calculate}\:\:\mathrm{I}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:^{\mathrm{4}} \sqrt{\mathrm{tanx}}\mathrm{log}\left(\mathrm{tanx}\right)\mathrm{dx}\:\:\mathrm{and} \\ $$$$\mathrm{J}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{log}\left(\mathrm{tanx}\right)}{\left(^{\mathrm{3}} \sqrt{\mathrm{tanx}}\right)}\mathrm{dx} \\ $$ Answered by Ar…