Question Number 63750 by Tawa1 last updated on 08/Jul/19 Commented by Prithwish sen last updated on 08/Jul/19 $$\mathrm{perimeter}\:\mathrm{of}\:\mathrm{circle}\:\mathrm{A}\:=\:\frac{\mathrm{2}}{\mathrm{3}}\pi\mathrm{r}\:\mathrm{unit} \\ $$$$\mathrm{perimeter}\:\mathrm{of}\:\mathrm{circle}\:\mathrm{B}\:=\:\mathrm{2}\pi\mathrm{r}\:\mathrm{unit} \\ $$$$\mathrm{Circle}\:\mathrm{A} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{covers}\:\frac{\mathrm{2}}{\mathrm{3}}\pi\mathrm{r}\:\mathrm{in}\:\mathrm{1}\:\mathrm{time} \\…
Question Number 63748 by aliesam last updated on 08/Jul/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 63747 by Tony Lin last updated on 08/Jul/19 $${What}\:{does}\:{sin}^{−\mathrm{2}} {x}\:{mean}? \\ $$ Commented by MJS last updated on 08/Jul/19 $$\mathrm{that}'\mathrm{s}\:\mathrm{the}\:\mathrm{question}… \\ $$$$\mathrm{we}'\mathrm{re}\:\mathrm{not}\:\mathrm{consequent}\:\mathrm{in}\:\mathrm{these}\:\mathrm{things} \\…
Question Number 129283 by math178 last updated on 14/Jan/21 Commented by math178 last updated on 14/Jan/21 $${Bernoulli}\:{differential}\:{equations}\:{solution}\:? \\ $$$$ \\ $$ Answered by bramlexs22 last…
Question Number 129279 by Study last updated on 14/Jan/21 $${f}\left({x}\right)=\frac{\mathrm{7}{x}−\mathrm{3}}{\left(\mathrm{2}{x}−\mathrm{11}\right)^{{ln}\frac{\mathrm{1}}{\mathrm{7}}} }\:\:\:\:\:{in}\:{which}\:{value} \\ $$$${of}\:{x}\:{is}\:{continuty}\:?? \\ $$ Commented by Study last updated on 14/Jan/21 $${help}\:{me}! \\ $$…
Question Number 129277 by liberty last updated on 14/Jan/21 $$\:\mathrm{O}\:=\:\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{arctan}\:\left(\frac{\mathrm{3X}+\mathrm{3}}{\mathrm{1}−\mathrm{2X}−\mathrm{X}^{\mathrm{2}} }\right)}{\mathrm{1}+\mathrm{X}^{\mathrm{2}} }\:\mathrm{dX} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 129274 by bramlexs22 last updated on 14/Jan/21 $$\:\int\:\frac{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{cos}\:\mathrm{x}}{\mathrm{1}+\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}\:\mathrm{dx}\:? \\ $$ Answered by liberty last updated on 14/Jan/21 $$\:\int\:\frac{\mathrm{cos}\:\mathrm{x}\left(\mathrm{cos}\:\mathrm{x}+\mathrm{1}\right)}{\mathrm{sin}\:\mathrm{x}+\mathrm{2cos}\:^{\mathrm{2}} \left(\frac{\mathrm{x}}{\mathrm{2}}\right)}\:\mathrm{dx}\:=\:\int\:\frac{\mathrm{cos}\:\mathrm{x}\left(\mathrm{2cos}\:^{\mathrm{2}} \left(\frac{\mathrm{x}}{\mathrm{2}}\right)\right)}{\mathrm{2cos}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\left[\:\mathrm{sin}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)+\mathrm{cos}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\right]}\:\mathrm{dx}= \\ $$$$\:\int\:\frac{\mathrm{cos}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\left(\mathrm{cos}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)+\mathrm{sin}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\right)\left(\mathrm{cos}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)−\mathrm{sin}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\right)}{\mathrm{sin}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)+\mathrm{cos}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)}\mathrm{dx}=…
Question Number 129275 by abdurehime last updated on 14/Jan/21 $$\int\mathrm{e}^{\mathrm{x}^{\mathrm{x}} } \mathrm{dx}?????? \\ $$ Commented by abdurehime last updated on 14/Jan/21 $$\mathrm{no}\:\mathrm{one}???? \\ $$ Commented…
Question Number 63738 by MJS last updated on 08/Jul/19 $$\mathrm{useful}\:\mathrm{formula} \\ $$$$======== \\ $$$$ \\ $$$$\forall{a}\in\mathbb{R}^{+} :\forall{b}\:\in\mathbb{R}:\:{a}\:\mathrm{sin}\:{x}\:+{b}\:\mathrm{cos}\:{x}\:=\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }\mathrm{sin}\:\left({x}+\mathrm{arctan}\:\frac{{b}}{{a}}\right) \\ $$$$\int\frac{{dx}}{{a}\:\mathrm{sin}\:{x}\:+{b}\:\mathrm{cos}\:{x}}= \\ $$$$=\frac{\mathrm{1}}{\:\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }}\int\frac{{dx}}{\mathrm{sin}\:\left({x}+\mathrm{arctan}\:\frac{{b}}{{a}}\right)}=…
Question Number 129272 by mnjuly1970 last updated on 14/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:{calculus}… \\ $$$$\:\:\:{evsluate}:: \\ $$$$\:\:\:\:\:\Omega=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \:\left(\frac{\Gamma\left({n}+\frac{\mathrm{3}}{\mathrm{2}}\right)}{\mathrm{2}^{{n}} \:\Gamma\left(\:\mathrm{2}{n}\:+\mathrm{2}\right)}\right)=??? \\ $$$$ \\ $$ Answered by Dwaipayan…