Question Number 143190 by Ar Brandon last updated on 11/Jun/21 $$\int_{\mathbb{R}} \frac{\mathrm{e}^{\mathrm{its}} }{\mathrm{s}+\mathrm{3}}\mathrm{ds} \\ $$ Commented by mohammad17 last updated on 11/Jun/21 $${w}=\frac{\mathrm{1}}{{s}+\mathrm{3}}\Rightarrow{s}=\frac{\mathrm{1}}{{w}}−\mathrm{3}\Rightarrow{ds}=−\frac{\mathrm{1}}{{w}^{\mathrm{2}} }{dw} \\…
Question Number 12103 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int\frac{{ln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143178 by Ar Brandon last updated on 10/Jun/21 $$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{x2}^{\mathrm{x}} +\mathrm{7}}{\mathrm{3}^{\mathrm{x}} +\mathrm{lnx}+\mathrm{1}}\mathrm{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 11/Jun/21…
Question Number 12100 by Nayon last updated on 13/Apr/17 $${Evaluate}\:−\int_{\mathrm{0}} ^{\infty} {e}^{−{x}} {ln}\left({x}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 12101 by Nayon last updated on 13/Apr/17 $${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