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 $$\mathrm{I}=\int\:\frac{\sqrt{\mathrm{2}−\mathrm{x}^{\mathrm{2}}…
Question Number 147746 by 0731619 last updated on 23/Jul/21 Answered by mindispower last updated on 23/Jul/21 $$\frac{{tan}^{−} \left({x}^{\mathrm{2}} \right)}{{tan}^{−} \left({x}\right)}<\mathrm{1} \\ $$$${x}\leqslant{x}^{\mathrm{2}} <\mathrm{1},\:{and}\:{using}\:{tan}^{−} \:{increasing}\:{function} \\…
Question Number 147747 by 0731619 last updated on 23/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 82185 by jagoll last updated on 19/Feb/20 $$\int\:\frac{{dx}}{\mathrm{sec}\:{x}\:+\:{csc}\:{x}}\:=\:?\: \\ $$ Commented by john santu last updated on 19/Feb/20 $$\mathrm{sec}\:{x}+\:{csc}\:{x}\:=\:\frac{\mathrm{1}}{\mathrm{cos}\:{x}}+\frac{\mathrm{1}}{\mathrm{sin}\:{x}} \\ $$$$\frac{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}{\mathrm{sin}\:{x}\:\mathrm{cos}\:{x}}\:. \\ $$$$\int\:\frac{\mathrm{sin}\:{x}\:\mathrm{cos}\:{x}}{\mathrm{sin}\:{x}\:+\:\mathrm{cos}\:{x}}\:{dx}\:=\:…
Question Number 82174 by jagoll last updated on 18/Feb/20 $$\underset{\mathrm{0}} {\overset{\pi} {\int}}\:{x}\:{ln}\left(\mathrm{sin}\:{x}\right)\:{dx}\:=\:?\: \\ $$ Commented by mathmax by abdo last updated on 19/Feb/20 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\pi}…
Question Number 16638 by tawa tawa last updated on 24/Jun/17 $$\int_{\:\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \:\mathrm{tan}^{\mathrm{2}} \left(\mathrm{3x}\right)\:\mathrm{dx} \\ $$ Answered by ajfour last updated on 24/Jun/17 $$\:\int_{\mathrm{0}} ^{\:\:\pi/\mathrm{4}}…