Question Number 12101 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{tan}^{−\mathrm{1}} \left({x}\right)}{\:{x}}{dx} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 13/Apr/17 $${x}={tg}\varphi\Rightarrow{dx}=\frac{{d}\varphi}{\mathrm{1}+{tg}^{\mathrm{2}} \varphi}\begin{pmatrix}{{x}=\mathrm{1}\Rightarrow\varphi=\frac{\pi}{\mathrm{4}}}\\{{x}=\mathrm{0}\Rightarrow\varphi=\mathrm{0}}\end{pmatrix} \\…
Question Number 12102 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int\frac{\mathrm{1}}{{cos}^{\mathrm{2}} \left({x}\right)}{dx} \\ $$ Answered by sma3l2996 last updated on 13/Apr/17 $${A}=\int\frac{\mathrm{1}}{{cos}^{\mathrm{2}} {x}}{dx}={tan}\left({x}\right)+{C} \\ $$ Answered…
Question Number 12098 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int\sqrt{{x}^{\mathrm{2}} −{a}^{\mathrm{2}} }{dx} \\ $$$$ \\ $$$$ \\ $$ Answered by sma3l2996 last updated on 13/Apr/17…
Question Number 143167 by pticantor last updated on 10/Jun/21 $$\int\boldsymbol{{arctan}}\left(\sqrt{\sqrt{\boldsymbol{{x}}}+\mathrm{1}}\right)\boldsymbol{{dx}}=??? \\ $$$$\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{{propose}}'\:\boldsymbol{{par}}\:\boldsymbol{{Rodrigue}} \\ $$ Answered by Olaf_Thorendsen last updated on 10/Jun/21 $$\mathrm{F}\left({x}\right)\:=\:\int\mathrm{arctan}\left(\sqrt{\sqrt{{x}}+\mathrm{1}}\right){dx} \\…
Question Number 143163 by slahadjb last updated on 10/Jun/21 $$\int_{\frac{\mathrm{1}}{{x}}} ^{{x}^{\mathrm{2}} } \frac{{dt}}{\:\sqrt{\mathrm{1}+{t}^{\mathrm{3}} }}\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77608 by aliesam last updated on 08/Jan/20 $$\int\frac{\left(\:{ln}\mid{tan}\left(\frac{{nx}}{\mathrm{2}}+\frac{\pi}{\mathrm{4}}\right)\mid\:\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}\:\:;{n}>\mathrm{0}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143142 by Ar Brandon last updated on 10/Jun/21 $$\int\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\centerdot\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{4}} }}\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 10/Jun/21 $$\mathrm{F}\left({x}\right)\:=\:\int\frac{{x}^{\mathrm{2}} −\mathrm{1}}{{x}^{\mathrm{2}}…
Question Number 77603 by kaivan.ahmadi last updated on 08/Jan/20 $$\int\frac{\mathrm{10}{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{1}}{{x}^{\mathrm{4}} −{x}^{\mathrm{3}} −{x}+\mathrm{1}}{dx} \\ $$$$ \\ $$ Commented by mathmax by abdo last updated on…
Question Number 77593 by BK last updated on 08/Jan/20 Commented by $@ty@m123 last updated on 08/Jan/20 $${The}\:{repeatation}\:{of}\:{this}\:{question}\: \\ $$$${is}\:{sufficient}\:{to}\:{prove}\:{that}\:{Mr}.\:{BK} \\ $$$${is}\:{none}\:{other}\:{than}… \\ $$ Commented by…
Question Number 12047 by Joel576 last updated on 10/Apr/17 $$\int\mathrm{4}{x}^{\mathrm{3}} \left(\mathrm{3}{x}^{\mathrm{2}} \:+\:\mathrm{2}\right)^{\mathrm{5}} \:{dx} \\ $$ Commented by Joel576 last updated on 10/Apr/17 Answered by sma3l2996…