Question Number 49761 by rahul 19 last updated on 10/Dec/18 $${Calculate}\:: \\ $$$$\:\int\frac{\:\:\mathrm{sin}^{\mathrm{2}} {x}\:\mathrm{cos}^{\mathrm{2}} {x}}{\left(\mathrm{sin}^{\mathrm{3}} {x}+\mathrm{cos}^{\mathrm{3}} {x}\right)^{\mathrm{2}} }\:{dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…
Question Number 49760 by rahul 19 last updated on 10/Dec/18 Commented by rahul 19 last updated on 11/Dec/18 $${Thank}\:{you}\:{sir}! \\ $$ Commented by tanmay.chaudhury50@gmail.com last…
Question Number 49746 by rahul 19 last updated on 10/Dec/18 $$\int\frac{\mathrm{sin}^{\mathrm{8}} {x}−\mathrm{cos}^{\mathrm{8}} {x}}{\mathrm{1}−\mathrm{2sin}^{\mathrm{2}} {x}.\mathrm{cos}^{\mathrm{2}} {x}}\:=\:? \\ $$$$\left.{a}\left.\right)\left.\:\frac{−\mathrm{1}}{\mathrm{2}}\mathrm{sin}\:\mathrm{2}{x}\:\:\:{b}\right)\frac{\mathrm{1}}{\mathrm{2}}\mathrm{sin}\:\mathrm{2}{x}\:\:\:{c}\right){None}. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…
Question Number 115267 by bobhans last updated on 24/Sep/20 $${If}\:{f}\left({x}\right)\:{is}\:{a}\:{differentiable}\:{function} \\ $$$${defined}\:\:\forall{x}\in\mathbb{R}\:{such}\:{that}\:\left({f}\left({x}\right)\right)^{\mathrm{3}} −{x}+{f}\left({x}\right)=\mathrm{0} \\ $$$${then}\:\underset{\mathrm{0}} {\overset{\sqrt{\mathrm{2}}} {\int}}\:{f}^{−\mathrm{1}} \left({x}\right)\:{dx}\:=\: \\ $$ Answered by Olaf last updated…
Question Number 180786 by Vynho last updated on 17/Nov/22 $${f}\left({t}\right)=\int_{\mathrm{0}} ^{{t}} {x}−\lfloor{x}\rfloor\:\:{dx} \\ $$ Answered by mr W last updated on 17/Nov/22 $${let}\:{n}=\lfloor{t}\rfloor \\ $$$${f}\left({t}\right)=\underset{{k}=\mathrm{0}}…
Question Number 49708 by ramsesnjasap1@gmail.com last updated on 09/Dec/18 $${Please}\:{integrate} \\ $$$$\int\left(\frac{\mathrm{e}^{\mathrm{cos}\:{x}} \mathrm{sin}\:{x}}{\mathrm{1}−{x}^{\mathrm{2}} }\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 180780 by universe last updated on 17/Nov/22 Commented by mr W last updated on 20/Nov/22 $${answer}\:\left({a}\right)\:\mathrm{2} \\ $$$${see}\:{Q}\mathrm{181020} \\ $$ Terms of Service…
Question Number 49661 by maxmathsup by imad last updated on 08/Dec/18 $${calculateA}_{{n}} =\frac{\mathrm{1}}{\mathrm{2}{i}}\:\int_{\mathrm{0}} ^{\mathrm{1}} \left\{\left(\mathrm{1}+{ix}\right)^{{n}} −\left(\mathrm{1}−{ix}\right)^{{n}} \right\}{dx} \\ $$ Commented by maxmathsup by imad last…
Question Number 115193 by mnjuly1970 last updated on 24/Sep/20 $$\:\:\:\:\:\:\:\:\:\:\:…{advanced}\:\:{mathematics}…\:\: \\ $$$$\:\:\:\:\:\:\:::\:\:\:{digamma}\:\:{limit}\:\::: \\ $$$$\:\:\:\:\:\:\:\:\:\:{if}\:\:\:{k}>\mathrm{0}\:\:{then} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{prove}\:\:{that}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{lim}_{{x}\rightarrow\mathrm{0}} \:\frac{\mathrm{1}}{{x}}\left(\psi\left(\frac{{k}+{x}}{\mathrm{2}{x}}\right)\:−\:\psi\left(\frac{{k}}{\mathrm{2}{x}}\right)\right)\:=\frac{\mathrm{1}}{{k}}\:\:\:\:\checkmark \\ $$$$ \\ $$$$\:\:\:\:\:{m}.{n}.{july}.\mathrm{1970}……
Question Number 49646 by maxmathsup by imad last updated on 08/Dec/18 $${calculate}\:\int\int_{{D}} \left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right)\sqrt{{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} }{dxdy}\:{with} \\ $$$${D}\:=\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\:\:−\mathrm{1}\leqslant{x}\leqslant\mathrm{1}\:{and}\:\mathrm{0}\leqslant{y}\leqslant\mathrm{2}\:\right\} \\ $$ Terms of Service…