Question Number 110875 by bemath last updated on 31/Aug/20 $$\left(\mathrm{1}\right)\underset{\mathrm{e}} {\overset{\mathrm{e}^{\mathrm{e}} } {\int}}\:\frac{\mathrm{ln}\:\left(\mathrm{x}\right).\mathrm{ln}\:\left(\mathrm{ln}\:\left(\mathrm{x}\right)\right)}{\mathrm{x}}\:\mathrm{dx}\:? \\ $$$$\left(\mathrm{2}\right)\underset{{x}\rightarrow\pi/\mathrm{4}} {\mathrm{lim}}\:\frac{\mathrm{cosec}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2}}{\mathrm{cot}\:\mathrm{x}−\mathrm{1}} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{Given}\:\begin{cases}{\mathrm{xy}=\frac{\mathrm{16y}−\mathrm{9x}}{\mathrm{45}}}\\{\frac{\mathrm{4}}{\:\sqrt{\mathrm{x}}}−\frac{\mathrm{3}}{\:\sqrt{\mathrm{y}}}\:=\:\mathrm{5}}\end{cases} \\ $$$$\Rightarrow\mathrm{find}\:\mathrm{9}\sqrt{\mathrm{xy}} \\ $$ Answered by…
Question Number 45334 by Meritguide1234 last updated on 12/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 12/Oct/18 $${using}\:{gamma}\:{beta}\:{function} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} {t}^{{m}−\mathrm{1}} \left(\mathrm{1}−{t}\right)^{{n}−\mathrm{1}} {dt}=\beta\left({m},{n}\right)=\frac{\lceil\left({m}\right)\lceil\left({n}\right)}{\lceil\left({m}+{n}\right)} \\ $$$$\lceil\left({n}+\mathrm{1}\right)={n}!…
Question Number 110800 by Eric002 last updated on 30/Aug/20 $$\int\frac{{sin}\left({x}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 45264 by Meritguide1234 last updated on 11/Oct/18 Commented by rahul 19 last updated on 12/Oct/18 $${pls}\:{answer}\:{this}\:{Q}….. \\ $$ Commented by Meritguide1234 last updated…
Question Number 176334 by mnjuly1970 last updated on 16/Sep/22 $$ \\ $$$$\:\:\:\:\:\Psi\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:\mathrm{ln}\left(\:\mathrm{1}+\:{x}\:−\:{x}^{\:\mathrm{2}} \right)}{{x}}\mathrm{d}{x}\:=\:? \\ $$$$ \\ $$ Answered by Peace last updated on…
Question Number 110772 by Dwaipayan Shikari last updated on 30/Aug/20 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\mathrm{1}+\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{\mathrm{3}^{{r}} {r}!}\underset{{k}=\mathrm{1}} {\overset{{r}} {\prod}}\left(\mathrm{2}{k}−\mathrm{1}\right)\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 45235 by maxmathsup by imad last updated on 10/Oct/18 $${let}\:\mid{a}\mid<\mathrm{1}\:{and}\:\:{f}\left({a}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({x}\right){ln}\left(\mathrm{1}+{ax}\right){dx} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:{g}\left({a}\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{xln}\left({x}\right)}{\mathrm{1}+{ax}}{dx} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({x}\right){ln}\left(\mathrm{2}+{x}\right){dx} \\…
Question Number 45232 by maxmathsup by imad last updated on 10/Oct/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({x}\right){ln}\left(\mathrm{1}+{x}\right){dx}\:. \\ $$ Commented by maxmathsup by imad last updated on 11/Oct/18…
Question Number 45231 by maxmathsup by imad last updated on 10/Oct/18 $${find}\:\int\:\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{3}−{x}\right)}{dx} \\ $$ Commented by maxmathsup by imad last updated on 12/Oct/18 $${let}\:{A}\:=\int\:\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{3}−{x}\right)}{dx}\:\Rightarrow{A}\:=\int\sqrt{\mathrm{3}{x}−{x}^{\mathrm{2}} −\mathrm{3}+{x}}{dx}=\int\sqrt{−{x}^{\mathrm{2}}…
Question Number 176288 by infinityaction last updated on 15/Sep/22 $$\:\:\int\mathrm{cos2}{x}\mathrm{log}\left(\mathrm{1}+\mathrm{tan}{x}\right){dx}\:\:\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com