Question Number 222385 by ajfour last updated on 25/Jun/25 Commented by ajfour last updated on 25/Jun/25 Commented by ajfour last updated on 27/Jun/25 https://youtu.be/Nd0JeAO6fRY?si=87O09KtjNWiH7uXs Answered…
Question Number 222413 by Shrodinger last updated on 25/Jun/25 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{xsinxcosx}}{{tan}^{\mathrm{2}} {x}+{cotan}^{\mathrm{2}} {x}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 222415 by Tawa11 last updated on 25/Jun/25 Answered by MrGaster last updated on 26/Jun/25 $${t}=\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{2}−{x}}} \\ $$$${x}=\frac{\mathrm{1}−\mathrm{2}{t}^{\mathrm{2}} }{\mathrm{1}−{t}^{\mathrm{2}} } \\ $$$${dx}=\frac{−\mathrm{2}{t}}{\left(\mathrm{1}−{t}^{\mathrm{2}} \right)^{\mathrm{2}} }{dt}…
Question Number 222408 by Nicholas666 last updated on 25/Jun/25 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{1}} ^{\infty} \:\left(\frac{\mathrm{1}}{{x}}\right)^{\frac{{x}}{\:\sqrt{{x}−\mathrm{1}}}} \:{dx}\:=\:\:\:?? \\ $$$$ \\ $$ Answered by MrGaster last updated on…
Question Number 222409 by Nicholas666 last updated on 25/Jun/25 $$ \\ $$$$\:\:\:\mathrm{Solve}\:;\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{\mathrm{ln}^{{n}} \:\mathrm{sin}\:\theta}{\mathrm{sin}^{{p}} \:\theta\:\mathrm{cos}^{{q}} \:\theta}\:\mathrm{d}\theta\:,\:\mathrm{for}\:{n},{p},{q}\:\in\:\mathbb{R}_{\geqslant\:\mathrm{0}} \:\:\:\:\:\:\:\: \\ $$$$ \\ $$ Terms of Service…
Question Number 222411 by Nicholas666 last updated on 25/Jun/25 $$\:\: \\ $$$$\:\:\:\left[\:\mathrm{1}\:.\right]\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{ln}\left({x}\right)\:\mathrm{ln}\left(\mathrm{1}−{x}^{\mathrm{2}} \right)\mathrm{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}−{x}^{\mathrm{2}} }\:\:\:{dx}\:\:\:\:\: \\ $$$$\:\:\:\left[\:\mathrm{2}\:.\right]\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{\mathrm{ln}\left({x}\right)\:\mathrm{ln}\left(\mathrm{1}−{x}\right)\:\mathrm{ln}\left(\mathrm{1}+{x}\right)\:\mathrm{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}}\:{dx} \\ $$$$\:\left[\:\mathrm{3}\:.\right]\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 222404 by ajfour last updated on 25/Jun/25 Answered by ajfour last updated on 26/Jun/25 $${x}+{y}+{z}=\boldsymbol{{s}} \\ $$$${xy}+{yz}+{zx}=\boldsymbol{{k}} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\boldsymbol{{h}} \\…
Question Number 222376 by ajfour last updated on 24/Jun/25 Answered by ajfour last updated on 24/Jun/25 $${Say}\:{AB}\:={s} \\ $$$${AF}={t} \\ $$$${height}\:{k} \\ $$$${horizontal}\:{projestion}\:{of}\:{CD}={h} \\ $$$$\mathrm{cos}\:\theta=\frac{{x}^{\mathrm{4}}…
Question Number 222373 by Tawa11 last updated on 24/Jun/25 An 80 kg man floats with 4% of his volume above the surface in fresh water.what…
Question Number 222365 by wewji12 last updated on 23/Jun/25 $$\mathrm{Prove} \\ $$$$\oint_{\:\partial\mathcal{S}} \:\overset{\rightarrow} {\boldsymbol{\mathrm{E}}}\centerdot\mathrm{d}\overset{\rightarrow} {\mathcal{S}}=\frac{\rho_{\mathrm{enc}} }{\boldsymbol{\varepsilon}_{\mathrm{0}} } \\ $$$$\overset{\rightarrow} {\boldsymbol{\mathrm{E}}}=\frac{\overset{\rightarrow} {\boldsymbol{\mathrm{r}}}}{\boldsymbol{\mathrm{r}}^{\mathrm{3}} }\: \\ $$ Answered…