Question Number 225994 by Spillover last updated on 17/Nov/25 Answered by Simurdiera last updated on 18/Nov/25 $${Soluci}\acute {{o}n} \\ $$$$\int_{\mathrm{1}/\mathrm{2}} ^{\:\mathrm{1}} \frac{\sqrt{\mathrm{1}\:−\:{x}^{\mathrm{2}} }}{{x}\centerdot\mathrm{sin}\left(\mathrm{arccos}\left({x}\right)\right)\:+\:\mathrm{arcsin}\left({x}\right)}\centerdot\frac{\sqrt{\mathrm{1}\:−\:{x}^{\mathrm{2}} }}{\:\sqrt{\mathrm{1}\:−\:{x}^{\mathrm{2}} }}\:{dx}…
Question Number 226003 by ajfour last updated on 17/Nov/25 $${If}\:\:{r}^{\mathrm{2}} +{r}\left(\sqrt{\mathrm{3}}−\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)\mathrm{sin}\:\theta=\frac{\mathrm{2}}{\mathrm{3}} \\ $$$${find}\:{A}=\int_{\pi/\mathrm{6}} ^{\:\pi/\mathrm{2}} \left(\frac{{r}^{\mathrm{2}} }{\mathrm{2}}\right){d}\theta \\ $$$$\: \\ $$ Commented by mr W last…
Question Number 225788 by ajfour last updated on 11/Nov/25 $$\int_{\:\sqrt{\mathrm{2}}−\mathrm{1}} ^{\:{y}} \sqrt{\left(\mathrm{2}\sqrt{\mathrm{2}}\right){y}−\mathrm{1}}{dy} \\ $$ Commented by ajfour last updated on 11/Nov/25 https://youtu.be/2E_r3bZjp9c?si=0LUX6BjrjMJShm6Z Commented by mr…
Question Number 225629 by sonukgindia last updated on 05/Nov/25 Answered by Spillover last updated on 05/Nov/25 $$\frac{\pi}{\mathrm{2}}\mathrm{log}\left(\frac{\mathrm{2}+\sqrt{\mathrm{3}}}{\mathrm{4}}\right)? \\ $$ Answered by Spillover last updated on…
Question Number 225391 by Tawa11 last updated on 24/Oct/25 $$\:\:\:\:\:\:\:\underset{\mathrm{n}\:\:\:=\:\:\:\mathrm{1}} {\overset{\infty} {\sum}}\:\left(−\:\:\:\:\mathrm{1}\right)^{\mathrm{n}\:\:\:\:−\:\:\:\mathrm{1}} \:\frac{\mathrm{H}_{\mathrm{n}} \:\mathrm{H}_{\mathrm{2n}} ^{\left(\mathrm{2}\right)} }{\mathrm{n}}\:\:\:\:\:\:\:=\:\:\:\:\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 225382 by Osefavour last updated on 23/Oct/25 $$\mathrm{Been}\:\mathrm{a}\:\mathrm{while}\:\mathrm{guys} \\ $$$$\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{xln}\left(\mathrm{1}+\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by peace2 last updated on 24/Oct/25 $${A}=\int_{\mathrm{0}}…
Question Number 224920 by Tawa11 last updated on 12/Oct/25 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{x}\:\mathrm{ln}\left(\mathrm{1}\:\:\:+\:\:\:\mathrm{x}\right)\:\mathrm{Li}_{\mathrm{2}} \left(\mathrm{x}\right)}{\mathrm{1}\:\:\:\:+\:\:\:\:\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Answered by MrAjder last updated on 02/Jan/26 $$\mathrm{Li}_{\mathrm{2}} \left({x}\right)=\underset{{n}=\mathrm{1}}…
Question Number 224845 by Ernestolisboa last updated on 07/Oct/25 Commented by mr W last updated on 07/Oct/25 $${you}\:{seem}\:{not}\:{to}\:{know}\:{how}\:{to}\:{use}\:{this} \\ $$$${forum}\:{properly}.\:{please}\:{read}\: \\ $$$$“{Forum}\:{Help}''\:{on}\:{the}\:{top}\:{of}\:{the}\:{app} \\ $$$${for}\:{more}\:{instructions}. \\…
Question Number 224839 by Tawa11 last updated on 07/Oct/25 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{x}\:\mathrm{tan}^{−\:\mathrm{1}} \left(\mathrm{x}\right)\:\mathrm{ln}\left(\mathrm{1}\:\:\:−\:\:\:\mathrm{x}\right)}{\mathrm{1}\:\:\:+\:\:\:\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 224798 by Tawa11 last updated on 04/Oct/25 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{arctan}^{\mathrm{2}} \left(\mathrm{x}\right)\:\mathrm{ln}\left(\mathrm{1}\:\:\:−\:\:\:\mathrm{x}\right)}{\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com