Question Number 51834 by Abdo msup. last updated on 31/Dec/18 $${calculatef}\left({a}\right)=\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{ln}\left(\mathrm{1}+{at}^{\mathrm{2}} \right)}{\mathrm{1}+{t}^{\mathrm{4}} }{dt}\:\:{with}\:{a}>\mathrm{0}. \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{ln}\left(\mathrm{3}+{t}^{\mathrm{2}} \right)}{\mathrm{1}+{t}^{\mathrm{4}} }{dt}. \\ $$ Commented by…
Question Number 182902 by Tawa11 last updated on 16/Dec/22 $$\int\:\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}} \:\:\boldsymbol{\mathrm{dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 51825 by Abdo msup. last updated on 30/Dec/18 $${find}\:{f}\left(\alpha\right)=\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\mathrm{1}+{e}^{−\alpha} {x}\right){dx}\:\:{with}\:\alpha\geqslant\mathrm{0} \\ $$ Commented by maxmathsup by imad last updated on 31/Dec/18…
Question Number 51824 by Abdo msup. last updated on 30/Dec/18 $${find}\:\int\:\:\:\frac{{dx}}{{cosx}\:+{cos}\left(\mathrm{2}{x}\right)+{cos}\left(\mathrm{3}{x}\right)} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 31/Dec/18 $$\int\frac{{dx}}{{cos}\mathrm{2}{x}+\mathrm{2}{cos}\mathrm{2}{x}.{cosx}} \\ $$$$\int\frac{{dx}}{{cos}\mathrm{2}{x}\left(\mathrm{1}+\mathrm{2}{cosx}\right)} \\ $$$$\int\frac{{dx}}{\left(\mathrm{2}{cos}^{\mathrm{2}}…
Question Number 182891 by mathlove last updated on 16/Dec/22 $$\int_{\mathrm{0}\:\:} ^{\infty} {e}^{{x}} \frac{{sinmx}}{{x}}{dx}=? \\ $$ Answered by dre23 last updated on 16/Dec/22 $${f}\left({t}\right)=\int_{\mathrm{0}} ^{\infty} {e}^{−{x}}…
Question Number 51812 by maxmathsup by imad last updated on 30/Dec/18 Commented by peter frank last updated on 30/Dec/18 $${the}\:{same}\:{to}\:\:{you}\:{sir} \\ $$ Commented by maxmathsup…
Question Number 117348 by Lordose last updated on 11/Oct/20 Commented by bemath last updated on 11/Oct/20 $$\mathrm{verry}\:\mathrm{beautifully} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 117342 by bemath last updated on 11/Oct/20 $$\:\left(\mathrm{1}\right)\int\:\left(\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)\right)^{\mathrm{2}} \:\mathrm{dx}\:=\:? \\ $$$$\left(\mathrm{2}\right)\:\int\:\mathrm{tan}^{−\mathrm{1}} \left(\sqrt{\mathrm{x}}\right)\:\mathrm{dx}\:=? \\ $$ Answered by mathmax by abdo last updated on…
Question Number 117329 by mnjuly1970 last updated on 12/Oct/20 $$\:\:\:\:\:\:\:\:\:{nice}\:\:{math} \\ $$$$\:\:{evaluate}:: \\ $$$$ \\ $$$$\:\:\:\: \\ $$$$\:\: \\ $$$$ \\ $$$$\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{arctan}\left({x}\right).{ln}\left(\mathrm{1}−{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}???…
Question Number 117311 by eric last updated on 10/Oct/20 Answered by Dwaipayan Shikari last updated on 10/Oct/20 $$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}{n}+\mathrm{1}}=\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{5}}−\frac{\mathrm{1}}{\mathrm{7}}+….. \\ $$$${tan}^{−\mathrm{1}} {x}={x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+\frac{{x}^{\mathrm{5}}…