Question Number 6118 by sanusihammed last updated on 15/Jun/16 $$\int{x}^{{x}} \:{dx} \\ $$ Commented by FilupSmith last updated on 15/Jun/16 $$\mathrm{ANSWER}: \\ $$$${x}^{{x}} ={e}^{{x}\mathrm{ln}\left({x}\right)} \\…
Question Number 6121 by sanusihammed last updated on 15/Jun/16 $$\int\sqrt{{ln}\left({sinx}\right){dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137185 by metamorfose last updated on 30/Mar/21 $$\int_{\mathrm{1}} ^{{x}} {e}^{\left(\mathrm{1}−{ln}^{\mathrm{2}} {t}\right)^{\frac{\mathrm{1}}{{n}}} } {dt}=…?\:{n}\:{an}\:{integer} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6116 by sanusihammed last updated on 14/Jun/16 $${Integrate}\:\:\:\left[\mathrm{1}\:+\:\left({tanx}\right)^{{a}} \right]^{−\mathrm{1}} \:\:{dx} \\ $$$$ \\ $$$${For}\:\:\mathrm{0}\:<\:{x}\:<\:\:\Pi/\mathrm{2} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6113 by enigmeyou last updated on 14/Jun/16 $$\int_{\mathrm{0}} ^{\mathrm{100}} {E}\left({x}\right){dx}=? \\ $$$$ \\ $$ Commented by 123456 last updated on 14/Jun/16 $$\mathrm{what}\:\mathrm{is}\:\mathrm{E}\left({x}\right)? \\…
Question Number 137177 by mnjuly1970 last updated on 30/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:……{advanced}\:\:\:\:\:….\:\:\:\:\:{calculus}…. \\ $$$$\:\:\:\:\:\:\:\Phi=\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\psi'\left({k}\right)}{{k}}\:=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{a}}{{n}^{{b}} } \\ $$$$\:\:\:\:\:\:{a}\:,\:{b}\:=??\:\left({adapted}\:{from}\:{brilliant}\right) \\ $$$$\:\:\:\:\:\:\:……………. \\ $$$$\:\:\:\:\:\:\:\psi\left({k}\right)\overset{??} {=}−\gamma+\int_{\mathrm{0}} ^{\:\mathrm{1}}…
Question Number 6107 by gourav~ last updated on 14/Jun/16 $$\int\frac{{x}}{{x}^{\mathrm{3}} +{x}+\mathrm{2}}{dx}\:=? \\ $$ Commented by Yozzii last updated on 14/Jun/16 $${x}^{\mathrm{3}} +{x}+\mathrm{2}={x}^{\mathrm{3}} +\mathrm{1}+{x}+\mathrm{1} \\ $$$$=\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}}…
Question Number 137171 by mnjuly1970 last updated on 30/Mar/21 Answered by Dwaipayan Shikari last updated on 30/Mar/21 $${log}\left(\mathrm{2}\right)=\mathrm{1}+\mathrm{1}\left(−\frac{\mathrm{1}}{\mathrm{2}}\right)+\mathrm{1}\left(−\frac{\mathrm{1}}{\mathrm{2}}\right)\left(−\frac{\mathrm{2}}{\mathrm{3}}\right)+… \\ $$$$=\frac{\mathrm{1}}{\mathrm{1}+\frac{\frac{\mathrm{1}}{\mathrm{2}}}{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}+\frac{\frac{\mathrm{2}}{\mathrm{3}}}{\mathrm{1}−\frac{\mathrm{2}}{\mathrm{3}}+\frac{\frac{\mathrm{3}}{\mathrm{4}}}{\mathrm{1}−\frac{\mathrm{3}}{\mathrm{4}}+..}}}}=\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{1}+\frac{\mathrm{3}^{\mathrm{2}} }{\mathrm{1}+\frac{\mathrm{4}^{\mathrm{2}} }{\mathrm{1}+…}}}}} \\ $$$$\frac{\mathrm{1}}{{log}\left(\mathrm{2}\right)}=\mathrm{1}+\frac{\mathrm{1}^{\mathrm{2}}…
Question Number 137156 by adhigenz last updated on 30/Mar/21 $$\underset{\mathrm{1}} {\overset{\infty} {\int}}\frac{\sqrt{\mathrm{3}{x}^{\mathrm{4}} +\mathrm{5}{x}^{\mathrm{3}} +\mathrm{1}}}{\mathrm{4}{x}^{\mathrm{3}} +{x}^{\mathrm{2}} +\mathrm{2}}\:{dx}\:=\:… \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137155 by mnjuly1970 last updated on 30/Mar/21 $$\:\:\:\:\:\:\:\:……{nice}\:\:\:\:{calculus}\:…… \\ $$$$\:\:\:\:\:\:{evaluate}\::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\mathrm{2}\pi} \frac{\mathrm{1}}{\mathrm{1}+{cos}^{\mathrm{4}} \left({x}\right)}{dx}=??? \\ $$ Answered by Ar Brandon last updated…