Question Number 82286 by mathmax by abdo last updated on 19/Feb/20 $$\left.\mathrm{1}\right)\:{find}\:{a}\:{and}\:{b}\:{wich}\:{verify}\:\:\int_{\mathrm{0}} ^{\pi} \left({at}^{\mathrm{2}} \:+{bt}\right){cos}\left({nx}\right)\:=\frac{\mathrm{1}}{{n}^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{{n}^{\mathrm{2}} } \\ $$ Commented by…
Question Number 82283 by M±th+et£s last updated on 19/Feb/20 $$\int{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{3}} +\mathrm{1}}\:{dx} \\ $$ Commented by MJS last updated on 20/Feb/20 $$\mathrm{it}'\mathrm{s}\:\mathrm{impossible}\:\mathrm{for}\:\mathrm{me}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this} \\ $$ Commented…
Question Number 16747 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 26/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 26/Jun/17 Commented by mrW1 last updated on 26/Jun/17 $$\mathrm{A}=\mathrm{4}\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 147803 by cesarL last updated on 23/Jul/21 $$\int\frac{\sqrt{\mathrm{2}−{x}^{\mathrm{2}} }+\sqrt{\mathrm{2}+{x}^{\mathrm{2}} }}{\:\sqrt{\mathrm{4}−{x}^{\mathrm{4}} }}{dx} \\ $$ Commented by lyubita last updated on 23/Jul/21 $${Mr}\:{Rasheed},\:{you}'{re}\:{right}… \\ $$…
Question Number 147799 by Eric002 last updated on 23/Jul/21 $$\int\frac{\sqrt{\mathrm{2}−{x}^{\mathrm{2}} }+\sqrt{\mathrm{2}+{x}^{\mathrm{2}} }}{\:\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }}{dx} \\ $$ Answered by Khalmohmmad last updated on 24/Jul/21 Terms of Service…
Question Number 82244 by M±th+et£s last updated on 19/Feb/20 $${find}\:{the}\:{function}\:{of}\:{f}\:{when}\:{this}\:\: \\ $$$${function}\:{continue}\:{at}\:{interval}\:\left[−\infty,\mathrm{0}\right] \\ $$$$\int_{−{x}^{\mathrm{2}} } ^{\mathrm{0}} {f}\left({t}\right)\:{dt}=\frac{{d}}{{dx}}\left[{x}\left(\mathrm{1}−{sin}\left(\pi{x}\right)\right]\right. \\ $$ Commented by mr W last updated…
Question Number 16703 by Tinkutara last updated on 25/Jun/17 $$\mathrm{Evaluate}:\:\int_{\mathrm{0}} ^{\frac{\mathrm{1}}{\mathrm{2}}} \frac{{dx}}{\left(\mathrm{1}\:+\:{x}^{\mathrm{2}} \right)\sqrt{\mathrm{1}\:−\:{x}^{\mathrm{2}} }} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 26/Jun/17 $${x}={tg}\varphi\Rightarrow{dx}=\left(\mathrm{1}+{tg}^{\mathrm{2}} \varphi\right){d}\varphi…
Question Number 82232 by mhmd last updated on 19/Feb/20 Commented by JDamian last updated on 19/Feb/20 $$\mathrm{I}\:\mathrm{guess}\:\mathrm{eventually}\:\mathrm{we}\:\mathrm{will}\:\mathrm{have}\:\mathrm{to}\:\mathrm{bear}\:\mathrm{ads} \\ $$ Answered by mind is power last…
Question Number 82223 by jagoll last updated on 19/Feb/20 $${given}\:{f}\left({x}\right)\:=\:{f}\left({x}+\frac{\pi}{\mathrm{6}}\right)\:,\:\forall{x}\in\:\mathbb{R} \\ $$$${if}\:\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{6}}} {\int}}\:{f}\left({x}\right)\:{dx}\:=\:{T}\: \\ $$$${then}\:\underset{\pi} {\overset{\frac{\mathrm{7}\pi}{\mathrm{3}}} {\int}}\:{f}\left({x}+\pi\right)\:{dx}\:=\:? \\ $$ Commented by john santu last…
Question Number 147749 by cesarL last updated on 23/Jul/21 $$\int\frac{\sqrt{\mathrm{2}−{x}^{\mathrm{2}} }+\sqrt{\mathrm{2}+{x}^{\mathrm{2}} }}{\:\sqrt{\mathrm{4}−{x}^{\mathrm{4}} }}{dx} \\ $$ Answered by mathmax by abdo last updated on 23/Jul/21 $$\mathrm{I}=\int\:\frac{\sqrt{\mathrm{2}−\mathrm{x}^{\mathrm{2}}…